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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division .
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the thing i do n't understand is when you are finding principle , why do you have to move the decimal over two places when you are multiplying rate*time ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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what percentage of the licensed vehicles were private cars ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder .
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so anyways i 'd like to know how can i make it simpler to divide 7 into 56 without using circles , sticks etc and oh without calculater ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right .
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you are driving a bus , 70 people get on , 50 people get off then another 3 people get on , how many people are left on the bus ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off .
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sal says `` i own a state where they do n't tax grocery '' what does it mean ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
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why can the x be 1 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right .
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why can we divide 12.60 by 0.7 to get the full price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ?
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so we just divided the sale price over the complement of the discount ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
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what is a more comlex algebraic equation that can solve the problem much more quickly ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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how do you subtract percentage from regular store price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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how to find the percentage of a salary increase ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price .
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why dont we just divide the numbers of the guavas by the selling price first thin add 30 % or 0.30 to it so that we can get the the price of one guava ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number .
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is 1 supposed to be the opposite of 0 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right .
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how did you get 0.7 after subtracting 1x-0.30x ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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what percentage of the original price was your discount ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 .
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in the video sal goes on to explain how we find the full price of 6 guavas by dividing $ 12.60 by .7 , how ( or rather why ) exactly does that get us to our answer of 18 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ?
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what is the sale price of an item with a regular price of $ 29.99 marked 30 % off ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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how many percent of the units are defective ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
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where did the x come from ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off .
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why did sal pick guavas ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off .
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why does khan put the x multiplication sign instead of the multiplication dot ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like .
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so how did you end up subtracting 1x from 0.3x and having 0.7x ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ?
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what is the sale price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
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how do you know when you + or - x from the percent ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number .
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how did you get .7x from x-0.30x ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
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dose `` x '' have be itself or can it be another symbol ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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ex : full price-30 $ sale price- 30 % off what is the sale price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x .
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how do you know that you have to multiply by 10 and not 100 or 1,000 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 .
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why does sal divide by 7 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
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what is guava and ca n't you just use 12.6 times 1.3 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
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if one serving of light peaches contains 60 calories , how many calories per serving of peaches packed in heavy syrup ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 .
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why is there a x next to the 0.30 ... ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 .
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what is 15.08 written as a mixed number ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas .
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what percent of 360 is 30 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
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how much sales tax would you pay to purchase a new bicycle that cost $ 429 if the sales tax rate is 5.2 % ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there .
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ex ; 126 is decreased to 48 or 42 is inceased to 72 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
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how much is the cd player after the second week ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
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would it still work , if you added 30 % onto $ 12.60 ( $ 3.78 ) , to give you the full price of the 6 guavas without the sale , then divide it by 6 to find the price of 1 guava , and times that figure by 2 ( $ 2.73 times 2 = $ 5.46 ) ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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what was the original price of the shirt ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 .
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if that prediction is correct about how many months , to the nearest whole number , will it take for the price of a gallon to reach $ 1.90 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
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i may have over complicated the equation but when i read the question i arrived at 2 equations : let x = regular price of guavas let y = total price 1. y ( @ 30 % ) = 6 [ 0.7x ] -- > 12.60 = 6 [ 0.7x ] -- > x = 3 2. y ( @ 0 % ) = 2x -- > sub from 1. y = 2 ( 3 ) -- > y = 6 is this overdoing it ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
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how much more money does shawn need to earn to purchase the fishing rod and reel ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 .
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if a man pays 12.5 % of his income for tax and saves 9.5 % and then he has rs.4025 for expenditure.how much is his income ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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have you seen life of pi ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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why would you want to know the full price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off .
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could n't have you just the sale price $ 12.60 by the number of guavas 6 to find the sale price of one guava which would be $ 2.10 and find the original price by multiplying $ 2.10 by .30 and then adding that to $ 2.10 and then multiplying that by 2 to get the price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off .
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when you find the price do we add tax , and if we do how do you add tax ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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a customer bill is $ 14.00 the tip is 15 % what is the tip ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 .
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my question is what is the area of a garden if the garden measured 8ft on one side ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like .
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how do i write an equation for the area ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
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i 'm having a lil trouble understanding stuff ... like how did the equation become x - .30x = 12.60 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
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why is there an x and the other x has a .30 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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out of 300 animals in the zoo ,45 are birds .what percent of the animals in the zoo are birds ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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you bought a dishwasher for $ 452.00 it was 20 % off , what the original price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
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how come the 12.60 became 126 instead of 1260 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
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what is the original purchase price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 .
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could n't sal divide by 3 instead of 6 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 .
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is there a divisibility rule for 7 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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by what date must empire pay the invoice ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right .
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how do yo get .7 from subtracting 1x to 0.30 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like .
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how does sal know that 0.1x minus 0.30x equals 0.70 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like .
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what is a guava ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 .
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in an examination 91 % candidates passed and 18 failed.how many candidates appeared in the exam ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas .
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why does his wife want a zero in front of decimals ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
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how much more % amount raja paid ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 .
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0ne third of 6 is 2 , so the price would be the same , right ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 .
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why are we subtracting 0.30 from x ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off .
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what do you need 8 guavas for ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 .
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what is the greatest number of 14inch pieces can i cut from 2 strings ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas .
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is guava a math thing ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 .
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how do you solve word problems for year 6 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ?
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do guavas really cost that much ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 .
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how did you get 70 % of the full price ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 .
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why does sal divide by .70 ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
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a t.v set is sold for rs 15000. the gross profit is 1/3 of the cost , what are the cost and the gross profit ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
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how many bikes and tricycles are in the shop ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas .
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what is a `` guava '' ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that .
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what is the whiteboard app/software you guys use ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that .
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what is the whiteboard app/software you guys use ?
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let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we 're assuming no tax , it 's a grocery and i live in a state where they do n't tax groceries . so for the 6 guavas , they charge me , i get the 30 % off . they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas . but now the sale is off . there 's no more 30 % . that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ? this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here . pick a suitable color for the algebra . maybe this grey color . so , let 's say that x is equal to the cost of 6 guarvas . 6 guavas , at full price . so , essentially , if we take 30 % off of this , we should get $ 12.60 . so let 's do that . so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 . i could ignore that zero if i like . actually , let me write it like this . my wife is always bugging me to write zeroes before decimals . so that 's the full price of 6 guavas minus 0.30 times the full price of guavas . some i 'm just taking 30 % off of the full price , off of the full price . this is how we figure out the sale price . this is going to be equal to that $ 12.60 right there . that 's going to be equal to $ 12.60 . i just took 30 % off of the full price . and now we just do algebra . we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 . and once you get used to these problems , you might just skip straight to this step right here . where you say , 70 % of the full price is equal to my sale price , right ? i took 30 % off . this is 70 % of the full price . you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that . so we get 0.7 goes into 12.60 . let 's multiply both of these numbers by 10 , which is what we do when we move both of their decimals one to the right . so the 0.7 becomes a 7 . ignore that right there . the 12.60 becomes 126 , put the decimal right there . decimal right there . and we 're ready to just do straight up long division . so this is now a 7 , not a .7 . so 7 goes into 12 1 time . 1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 . 7 goes into 56 8 times . 8 times 7 is 56 . and then we have no remainder . so it 's 18 , and there 's nothing behind the decimal point . so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas . x was the full price of 6. x is the full price of 6 guavas . now , the question is , how much will 2 guavas cost me at the full price ? well , this is full price of 6 . so you immediately could figure out what 's the full price of one guava . you divide 18 by 6 . so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas . so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 . so , just to give a quick review what we did . we said the sale price on six guavas , $ 12.60 . that 's 30 % off the full price . or you could say this is 70 % of the full price . 70 % of the full price . and so you could say , 30 % -- so if you say x is the full price of 6 guavas , you could say the full price of 6 guavas minus 30 % of the full price of 6 guavas is equal to 12.60 , and that 's equivalent to saying , 70 % of the full price is 12.60 . you divided -- then we just solved this algebraically . divide both sides by 0.7 , and then we got x , the full price of 6 guavas , is $ 18 , or that 's $ 3 per guava or $ 6 for 2 . anyway , hopefully you found that helpful .
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and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals . so let 's do that .
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what is the whiteboard app/software you guys use ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on .
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how many energy points do i have ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day .
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3- why is the question have to be that ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on .
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how many flowers can be planted ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 .
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is the number line you are trying to show that you divide the number line just like you divide normally ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on .
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each pages contains the sames number of words .how many words are on each pages ?
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problem : `` omar rode his boat for a total of 50 miles over the past 5 days . and he rowed the same amount each day . how many miles did omar row his boat each day ? '' so let ’ s just visualize what 's going on . he is able to travel 50 miles . so let 's make a – let ’ s say this line represents the 50 miles that he travels . so this whole distance right over here is 50 miles . and he does it – they tell us that he does it over 5 days , and that each day , he does the same amount . so this 50 miles is if you were to add together all of what he did over the 5 days . and so , if you want to know how much he did each day , you essentially want to divide this 50 miles into 5 equal sections . and the length of each of those sections is the amount he did each day . so if we just visualize it – so that 's one section – second section – third section – fourth – and fifth section . and actually , i did n't do that very well . it should look a little bit more equal than that . first , second – ( and that 's not going to – let 's see . ) first , second , third , fourth , and fifth . and you do n't have to actually do this . this is just to help visualize . so essentially , what we want to figure out is what is one of these distances ? and as you can see in our visualization , this is really just taking our 50 miles and dividing it into 5 equal chunks . so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day . and we 're done .
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so we 're essentially just taking 50 , and we 're going to divide it by 5 . so 50 divided by 5 is going to be equal to 10 . so if he goes 50 miles over 5 days , and you divide by the 5 days , he goes 10 miles each day .
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what is 235 divided by 56= ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing .
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how many times do you recommend a student go through the offical sat practice ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay .
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i 'm taking the exam without the essay so does that mean that my score will be out of 1600 ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it .
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will choosing the psat vs the sat for your profile change what questions you get for the practice quizzes and tests ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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is there a difference between the sat and the act tests ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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will the sat answer ( 'bubbling ' mcq ) sheet be attached to the question paper ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed .
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why are the sats so important , i mean your going to put all this stress and pressure on someone just to take an unwanted test ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions .
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is it possible to grasp level 4 materials , beginning from level 2 , within this allotted time ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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what is the skill level of the qs tested on the actual new sat exam ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first .
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i know that sat if for getting scholarship in colleges , but what is psat for ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first .
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does the psat affect college admissions in any way or is it just the sat and possibly the act ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing .
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do the exercises go on forever ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now .
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does khan academy make its own questions or does it use ones already put out by collegeboard ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy .
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i know that you are allowed to take multiple sats on different occasions , but do colleges see your first few tries or just your best score ?
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- [ kitt ] welcome to the official sat practice , i 'm kitt hirasaki the lead designer . our team here at khan academy has partnered with the college board , the makers of the sat to bring you official , personalized and completely free practice for the sat . our system works by figuring out what skills we need to practice most , and focusing your time on those . we also help you create a practice schedule based around when your test is , and we have full-length exams from college board to help you get ready for the real thing . so when you first sign in , you 'll arrive on this page . if you 've already taken the psat or sat , you can connect your khan academy and college board accounts and automatically send your test results to us . that way you can start by practicing what you missed on the psat , and we 'll set the question difficulties to match where you are right now . if you have n't taken the psat or sat , no worries . we have a series of diagnostic quizzes that you can take that 'll figure out your strengths and weaknesses and what you should practice first . so when you click sign in to college board , you 'll be taken to college board , so you can send your test results to khan academy . now that we 're connected , we 'll read in your results and create your personalized practice recommendations . alright , looking good . so on your first day you 'll get started by practicing one of the skills that you missed on the test . you 'll also go through the steps to create your practice schedule . i have already created one here , let me scroll down . so i 'm scheduled to take the test on june 4th , and the system helped me figure out when i should take my practice exams , and i also scheduled the days when i want to practice throughout the week . so let 's go ahead and practice that first skill . we have two areas , math and reading and writing . your top three recommended skills to practice are shown here , and you can see these are being recommended because they 're ones that we missed on the psat . so for the ones i missed on psat , the system has me starting at level two . as i answer questions right , i 'll climb up to level four , which has the hardest questions . now let me fire up this first recommended skill . when i 'm working on a practice question , i can show hints or i can also watch a video example for this skill . and then once i 've made my answer , i can check it . oh , did n't get that . but fortunately we give you an explanation for how to solve the problem . after you finish practicing these first three skills , you 'll do a timed mini section , which is like a real test section where you 're under time pressure . but it 's much shorter , just 10 or 11 questions long . and then , once you 're done with that the system will give you three new skills to practice , based on what you missed on the timed mini section , combined with what you missed on your psat or your diagnostic quizzes . then if there 's specific skills that you want to get more practice on , you can come down to the library and choose what you want to practice . you can also watch videos where sal works through different examples . in our tips and planning section , we have videos and articles about the test , as well as tips for preparing for the test . and in our full exam section , we have four full exams you can take to get ready for the real thing . the sat 's a long test , it 's three hours or four hours if you signed up for the optional essay . and it 's very important to take practice exams to build up the endurance you 'll need to do well on your test day . then once you 've finished a practice test , you 'll get your score , you can review your answers , and you 'll get new practice recommendations for the questions that you missed . so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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so that 's it . you can go to khanacademy.org/sat to get started preparing for the sat , all for free . good luck .
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is there negative marking in the sat test ?
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