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3
Smaug the dragon hoards 100 gold coins, 60 silver coins, and 33 copper coins. If each silver coin is worth 8 copper coins, and each gold coin is worth 3 silver coins, what is the total value of Smaug's hoard expressed as a number of copper coins?
2,913
First figure out how many silver coins the 100 gold coins are worth by multiplying the number of gold coins by the exchange rate between gold and silver: 100 gold * 3 silver/gold = <<100*3=300>>300 silver Then add the value of the gold in silver to the number of silver coins to find the total value of the gold and silv...
3
Wade has called into a rest stop and decides to get food for the road. He buys a sandwich to eat now, one for the road, and one for in the evening. He also buys 2 drinks. If the drinks cost $4 each and Wade spends a total of $26 then how much, in dollars, did the sandwiches each cost?
6
The drinks cost a total of $4 per drink * 2 drinks = $<<4*2=8>>8. So the sandwiches cost a total of $26 total spending - $8 spending on drinks = $<<26-8=18>>18. Therefore, each sandwich costs $18 for sandwiches / 3 sandwiches = $<<18/3=6>>6. #### 6
2
You can lower the price by 20% if you buy more than fifteen units of iPhone cases. If you pay $500 to buy 18 units, what is the original price?
625
If you buy 18 units, the percentage of the total price drops to 100% - 20% = 80% If 80% is equal to $500, then 100% is equals 100%/80% * $500 = $625 #### 625
2
If you buy a dozen of doughnuts, it costs $8; but if you buy 2 dozens, it costs $14. How much will you save from buying 3 sets of 2 dozens than buying 6 sets of 1 dozen?
6
Six sets of 1 dozen of doughnuts cost $8 x 6 = $<<6*8=48>>48. Three sets of 2 dozens of doughnuts cost $14 x 3 = $42. Therefore, you can save $48 - $42 = $<<48-42=6>>6. #### 6
2
In a yard, the number of tanks is five times the number of trucks. If there are 20 trucks in the yard, calculate the total number of tanks and trucks in the yard.
140
There are 5*20 = <<5*20=100>>100 tanks in the yard. Altogether, there are 100+20 = <<100+20=120>>120 trucks and tanks in the yard. #### 140
3
Jackson is laying tile in a courtyard that measures 10 feet by 25 feet. He needs 4 tiles per square foot of space. 40% of the tiles are green marble that costs $3/tile, and the rest are red tile that costs $1.50/tile. How much does he pay total for tile?
2,100
First find the area of the courtyard: 10 feet * 25 feet = <<10*25=250>>250 feet Then multiply the area by the number of tiles per square foot to find the total number of tiles needed: 250 feet * 4 tiles/square foot = <<250*4=1000>>1000 tiles Then multiply the number of tiles by the percentage that are green to find the...
3
There are 24 toys in the box and ¼ of them are action figures. The remaining toys are all dolls. How many dolls are there?
18
Since there are 24 toys in the box, there are ¼ * 24 = 6 action figures. Because the rest of the toys are dolls, there are 24 - 6 = <<24-6=18>>18 dolls in the box. #### 18
2
If eight liters is 20% the capacity of a container filled with water, calculate the total capacity of 40 such containers filled with water.
1,600
If eight liters is 20% the capacity of a container filled with water, when the container is full, which is 100%, the container will contain 100%/20% * 8 liters= 40 liters. The total capacity of 40 such containers filled with water is 40*40 = <<40*40=1600>>1600 liters #### 1600
1
Jackson is buying chairs for his restaurant. He has 6 tables with 4 seats and 12 tables with 6 seats. How many chairs total does Jackson need to buy?
96
First find how many chairs Jackson needs for the four-seat tables by multiplying the number of four-seat tables by 4: 4 chairs/table * 6 tables = <<4*6=24>>24 chairs Next find how many chairs Jackson needs for the six-seat tables by multiplying the number of six-seat tables by 6: 6 chairs/table * 12 tables = <<6*12=72>...
3
Adam has an orchard. Every day for 30 days he picks 4 apples from his orchard. After a month, Adam has collected all the remaining apples, which were 230. How many apples in total has Adam collected from his orchard?
350
During 30 days Adam picked 4 * 30 = <<4*30=120>>120 apples. So in total with all the remaining apples, he picked 120 + 230 = <<120+230=350>>350 apples from his orchard. #### 350
2
Jenny is scraping gum off the bottom of the seats in a stadium with two sections. Section A has 1 subsection with 60 seats and 3 subsections with 80 seats each. Section B has 20 more seats than 3 times as many seats as Section A has total. How many seats does Section B have?
920
First find how many total seats are in the 80-seat subsections: 80 seats/subsection * 3 subsections = 240 seats Then add the number of seats in the 60-seat section to find the total number of seats in Section A: 240 seats + 60 seats = <<240+60=300>>300 seats Then triple that number: 300 seats * 3 = <<300*3=900>>900 sea...
2
Jason is climbing a telephone pole next to a tree his friend Matt is climbing. Matt can climb 6 feet/minute and Jason can climb 12 feet per minute. After 7 minutes, how much higher will Jason be than Matt?
42
First find the distance Matt climbs in 7 minutes: 6 feet/minute * 7 minutes = <<6*7=42>>42 feet Then find the distance Jason climbs in 7 minutes: 12 feet/minute * 7 minutes = <<12*7=84>>84 feet Then subtract the distance Matt climbs from the distance Jason climbs to find the difference: 84 feet - 42 feet = <<84-42=42>>...
1
Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?
249
Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x/100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 2...
3
Marty and Biff were both running for student council president. A poll was taken to see how the candidate’s campaigns were going. 45% of the people polled said they were voting for Biff and 8% were undecided. The rest said they are voting for Marty. If 200 people were polled, how many said they are voting for Marty?
94
If 45% of people were voting for Biff + 8% were undecided = 53% were not voting for Marty. There were 100 – 53 = <<100-53=47>>47% voting for Marty. If 47% of 200 people were voting for Marty, 0.47 x 200 = <<0.47*200=94>>94 people said they were voting for Marty. #### 94
1
Bob is tilling a plot of his garden. The plot is 110 feet wide by 120 feet long. His tiller digs a swath two feet wide, and he can till 1 foot of ground in about 2 seconds. How long will it take him to till this plot of land, in minutes?
220
If Bob goes along the side that's 120 feet long, he will till 110 / 2 = 55 rows. Each of these rows are 120 feet long, so he will push the tiller a total of 120 * 55 = <<120*55=6600>>6,600 feet. He tills 1 linear foot of ground every 2 seconds, so it will take him 2 * 6,600 = 13,200 seconds to till this plot 13,200 sec...
3
During a unit on probability, a teacher surveys her class asking her students two questions. The first question was whether they prefer dogs or cats, and the second question was whether they movies or video games. Of the 30 students in her class, 50% chose dogs and video games as their two answers, while 10% chose do...
18
The 50% of the class that chose dogs and video games amounts to 30*0.5 = <<50*.01*30=15>>15 students who prefer dogs over cats. Similarly, the 10% that chose dogs and movies amount to 30*0.1 = <<30*0.1=3>>3 students who prefer dogs over cats. Because these are the only two ways that a student could indicate their prefe...
2
Vanessa has decided to sell some of her clothes to make pocket money, offering a standard price for each type of item. She made a total of $69 by selling 7 dresses and 4 shirts. If she managed to sell each shirt for $5, how much did the dresses sell for each?
7
Let V be the cost of each dress. (7 * V) + (4 * 5) = $69. So, 7 * V + 20 = $69. 7V = $49. V = $49/7. V = $<<7=7>>7. #### 7
2
A kiddy gift shop sells bracelets at $4 each, keychains at $5 each, and coloring books at $3 each. Paula and Olive want to buy presents for their friends. Paula buys two bracelets and a keychain, while Olive buys a coloring book and a bracelet. How much do Paula and Olive spend in total?
20
Two bracelets cost 2 x $4 = $<<2*4=8>>8. Thus, Paula spends $8 + $5 = $<<8+5=13>>13. Olive spends $3 + $4 = $<<3+4=7>>7. Therefore, Paula and Olive spend $13 + $7 = $<<13+7=20>>20 in all. #### 20
3
The teachers divided the group of students into 3 groups of 8. But 2 students left early. How many remain?
22
There were initially 3*8=<<3*8=24>>24. Now there are 24-2=<<24-2=22>>22. #### 22
2
Bill is laying power cable for a new neighborhood. There are going to be 18 east-west streets that are 2 miles long and 10 north-south streets that are four miles long. It takes 5 miles of cable to electrify 1 mile of street. If cable costs $2000/mile, what is the total cost of cable for the neighborhood?
760,000
First find the total distance of the east-west streets: 18 streets * 2 miles/street = <<18*2=36>>36 miles Then find the total distance of the north-south streets: 10 streets * 4 miles/street = <<10*4=40>>40 miles Then add the number of miles from each type of street to find the total distance: 36 miles + 40 miles = <<3...
2
John ends up serving on jury duty. Jury selection takes 2 days. The trial itself lasts 4 times as long as jury selection It is a complicated trial. The number of hours spent in jury deliberation was the equivalent of 6 full days. They spend 16 hours a day in deliberation. How many days does John spend on jury dut...
19
Deliberation ended up taking 6 * 24 = <<6*24=144>>144 hours That means they spent 144 / 16 = <<144/16=9>>9 days in deliberation The trial lasted 2 * 4 = <<2*4=8>>8 days So he spent 2 + 8 + 9 = <<2+8+9=19>>19 days on jury duty #### 19
3
Nigel won $45 but gave some away. His mother gave him $80 more. If now Nigel has $10 more than twice the amount he originally had, how much money did he give away?
25
Twice the amount Nigel originally had is 2 * 45 = <<2*45=90>>90 dollars Now, Nigel has 10 dollars more, meaning that he has 10 + 90 = <<10+90=100>>100 dollars Before his mother gave him 80 dollars, he had been left with 100 - 80 = <<100-80=20>>20 dollars This means that Nigel gave away 45 - 20 = <<45-20=25>>25 dollars ...
2
Tracy set up a booth at an art fair. 20 people came to look at her art. Four of those customers bought two paintings each. The next 12 of those customers bought one painting each. The last 4 customers bought four paintings each. How many paintings did Tracy sell at the art fair?
36
The first 4 customers bought 4*2=<<4*2=8>>8 paintings The next 12 customers bought 12*1=<<12*1=12>>12 paintings The last 4 customers bought 4*4=<<4*4=16>>16 paintings In total Tracy sold 8+12+16=<<8+12+16=36>>36 paintings #### 36
1
Pirate Rick sailed his ship to a tropical island in search of a site to bury his treasure. After finding the perfect site, it took him 4 hours to dig up 8 feet of sand under which to bury the treasure. Once the treasure was buried, he left the island. Then, a tropical storm came and washed away half of the sand from...
3
Pirate Rick digs at a rate of 8 feet of sand per 4 hours, or 8/4=<<8/4=2>>2 feet per hour. Of the 8 feet of sand that were initially on top of the treasure, the storm washed 8/2=<<8/2=4>>4 feet of sand away. Thus, after the storm and the tsunami, the treasure was buried beneath 8-4+2=<<8-4+2=6>>6 feet of sand. Digging ...
2
Bella is making bracelets for her 6 friends. She needs 8 beads per bracelet. She has 36 beads. How many more beads does she need to make all six bracelets?
12
Bella needs a total of 8 beads x 6 friends = <<8*6=48>>48 beads. She needs 48 beads – 36 beads = <<48-36=12>>12 more beads. #### 12
1
Summer performs 5 sun salutation yoga poses as soon as she gets out of bed, on the weekdays. How many sun salutations will she perform throughout an entire year?
1,300
She performs 5 sun salutations on the weekdays so that’s 5 days so that’s 5*5 = <<5*5=25>>25 sun salutations a week There are 52 weeks in a year and she performs 25 sun salutations every week for a total of 52*25 = <<52*25=1300>>1,300 sun salutations a year #### 1300
2
Jill is going to resod her front yard. The plot of land in front of her house is 200 feet wide by 50 feet. Her house has a sidewalk that is 3 feet wide and 50 feet long. There are also four flower beds: two right in front of the house that are 4 feet deep by 25 feet long, one that is 10 feet by 12 feet, and a fourth th...
9,474
The area of the whole front yard is 200 feet by 50 feet, or 200 ft * 50 ft = <<200*50=10000>>10,000 sq.ft. The sidewalk is 3 feet by 50 feet, or 3ft * 50ft = <<3*50=150>>150 sq.ft. Each of the flower beds right in front of the house is 4 feet by 25 feet, or 4 ft * 25 ft = 100 sq.ft. There are two, so that's 2 * 100 sq....
3
Reggie's father gave him $48. Reggie bought 5 books, each of which cost $2. How much money does Reggie have left?
38
The cost of the books is 5 × $2 = $<<5*2=10>>10. Reggie has $48 − $10 = $38 left. #### 38
1
Hansel makes $30,000 a year and just received a 10% raise. Gretel makes the same amount as Hansel but received a 15% raise. How much more money will Gretel make compared to Hansel?
1,500
Hansel makes $30,000 and received a 10% raise so his raise is 30,000*.10 = $3,000.00 Hansel now makes 30,000+ 3,000 = $<<30000+3000=33000>>33,000 a year Gretel makes $30,000 and received a 15% raise so her raise is 30,000*.15 = $4,500.00 Gretel now makes 30,000+4,500 = $<<30000+4500=34500>>34,500 a year If Gretel makes...
0
Sally had 14 fries at lunch. Her friend Mark gave her one-third of his 36 fries at lunch. How many fries did Sally have for lunch after that?
26
Mark gave Sally 36/3=<<36/3=12>>12 fries After that Sally has 14+12=<<14+12=26>>26 fries #### 26
1
Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the 3 people work in total?
40
Armand = (1/3) * 12 = <<(1/3)*12=4>>4 hours Ella = 2 * 12 = <<2*12=24>>24 hours Total hours = 12 + 4 + 24 = <<12+4+24=40>>40 hours They worked a total of 40 hours. #### 40
2
Hannah is making banana bread. She needs to use 3 cups of flour for every cup of banana mush. It takes 4 bananas to make one cup of mush. If Hannah uses 20 bananas, how many cups of flour should she use?
15
First find the number of cups of banana mush Hannah gets: 20 bananas / 4 bananas/cup = <<20/4=5>>5 cups Then multiply the number of cups of mush by the ratio of flour to mush to find the number of cups of flour: 5 cups mush * 3 cups flour/1 cup mush = <<5*3=15>>15 cups flour #### 15
0
Alison has half as much money as Brittany. Brittany has 4 times as much money as Brooke. Brooke has twice as much money as Kent. If Kent has $1,000, how much money does Alison have?
4,000
Brooke has 2*1,000 = <<2*1000=2000>>2,000 dollars. Brittany has 4*2,000 = <<4*2000=8000>>8,000 dollars. Alison has 8,000/2 = <<8000/2=4000>>4,000 dollars. #### 4,000
2
Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of b...
22
First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces/carton = <<48/6=8>>8 cartons Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons ...
1
Karen is considering her winter coat options. One coast costs $300 and will last for 15 years. The other coat costs $120 and will last for five years. How much money would Karen save over 30 years by buying the more expensive cost?
120
First find the number of cheaper coats Karen will have to purchase over 30 years: 30 years / 5 years/coat = <<30/5=6>>6 coats Then multiply that number by the cost of one cheaper coat to find the total cost of that option: 6 coats * $120/coat = $<<6*120=720>>720 Then find the number of more expensive coats Karen will h...
2
While buying DVDs at the store, Maria received a 25% discount. If the discount she received is $40, how much did she pay in total?
120
Since 100 percent represent the original price, and she received a 25% discount which is $40, the original price is 100/25*40 = <<100/25*40=160>>160 Maria paid $160-$40 = $<<160-40=120>>120 after receiving the twenty-five percent discount. #### 120
2
It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs?
27
Let D = time in minutes to vacuum downstairs Upstairs = 2D + 5 minutes 3D + 5 = 38 3D = 33 D = <<11=11>>11 minutes Upstairs = (2 * 11) + 5 = <<(2*11)+5=27>>27 minutes Dad took 27 minutes to vacuum upstairs. #### 27
0
Eliza can iron a blouse in 15 minutes and a dress in 20 minutes. If she spends 2 hours ironing blouses and 3 hours ironing dresses, how many pieces of clothes did she iron?
17
Since 60 minutes equal 1 hour, in 2 hours, Eliza ironed blouses for 2 x 60 = <<2*60=120>>120 minutes. Eliza can iron 120 / 15 = <<120/15=8>>8 blouses. Since 60 minutes equal 1 hour, in 3 hours, Eliza ironed dresses for 3 x 60 = <<3*60=180>>180 minutes. Eliza can iron 180 / 20 = <<180/20=9>>9 dresses. In total, Eliza ir...
2
The Tigers played 56 home games this year. They had 12 losses and half as many ties. How many games did they win?
38
The Tigers had 12 / 2 = <<12/2=6>>6 ties. The Tigers had 56 - (12 + 6) = <<56-(12+6)=38>>38 wins. #### 38
2
Tom uses 10 weight plates each weighing 30 pounds on an exercise machine. This exercise machine uses special technology to make the weights 20% heavier on the lowering portion. How heavy did the weights feel when being lowered?
360
The weight stack weighed 10*30=<<10*30=300>>300 pounds So the added weight made it 300*.2=<<300*.2=60>>60 pounds heavier So when he lowered the weight it was 300+60=<<300+60=360>>360 pounds #### 360
0
Jane is painting her fingernails. She applies a base coat that takes 2 minutes to dry, two color coats that take 3 minutes each to dry, and a clear top coat that takes 5 minutes to dry. How many minutes total does Jane spend waiting for her nail polish to dry?
13
First figure out how long both color coats will take to dry: 3 minutes * 2 = <<3*2=6>>6 minutes Then add up the time for the base coat, top coat, and color coats: 6 minutes + 2 minutes + 5 minutes = <<6+2+5=13>>13 minutes #### 13
1
Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got marri...
28
We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 = <<30+22=52>>52 years old today If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 = <<5*22=110>>110 years That means that Anna must be 110 - 52 = ...
3
Jake is retrieving the notes on a communal board, putting all of the red notes in the complaints bin and all of the blue notes in the compliments bin. The red notes were in 5 rows with 6 notes in each row. There are 2 blue notes under each of the red notes, as well as another 10 blue notes scattered at the bottom of th...
100
There are a total of 5 rows of red notes * 6 notes per row = <<5*6=30>>30 red notes on the board. There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes. With the other blue notes at the bottom of the board, there are a total of 60 + 10 = <<60+10=70>>70 blue notes. So in total, there ar...
1
James' keyboard is missing 1/7 of the consonants and two vowels. How many keys are missing in total? (Remember there are 5 vowels and 21 consonants in the alphabet.)
5
First find how many consonants are missing: 21 consonants * 1/7 = <<21*1/7=3>>3 consonants Then add the number of missing vowels to find the total number of missing keys: 3 consonants + 2 vowels = <<3+2=5>>5 keys #### 5
2
There is a group of 18 people who are ordering pizza. If each person gets 3 slices and each pizza has 9 slices, how many pizzas should they order?
6
Each person eats 3 slices of pizza, the group in total eats 18 x 3 = <<18*3=54>>54 slices. There are 54 slices in 54 / 9 = <<54/9=6>>6 pizzas. #### 6
0
There are 8 red pens in Maria's desk drawer. There are 10 more black pens than red pens. There are also 7 more blue pens than red pens. How many pens are there in all?
41
Maria has 8 + 10 = <<8+10=18>>18 black pens. Maria has 8 + 7 = <<8+7=15>>15 blue pens. Maria has 8 + 18 + 15 = <<8+18+15=41>>41 pens in total. #### 41
2
Bryan starts exercising at home during quarantine. To start, he decides to do 3 sets of 15 push-ups each. Near the end of the third set, he gets tired and does 5 fewer push-ups. How many push-ups did he do in total?
40
In total, Bryan would have done 3 sets * 15 push-ups/set = <<3*15=45>>45 push-ups. Subtracting the push-ups he didn't do in the third set, Bryan did 45 push-ups - 5 push-ups = <<45-5=40>>40 push-ups. #### 40
3
For every black & white cookie that Elsa makes, she has to make the batter, bake the cookies for 15 minutes and then allow to cool. She then has to dip the cookies in white icing and allow the icing to harden for 30 minutes. Then she has to re-dip them in chocolate icing and allowed to harden for an additional 30 minu...
45
It takes 15 minutes to bake, 30 minutes for the white icing to harden and 30 minutes for the chocolate icing to harden so it takes 15+30+30 = <<15+30+30=75>>75 minutes Every hour has 60 minutes and it takes her 2 hours so it takes 60*2 = <<60*2=120>>120 minutes to make the cookies It takes 120 minutes to make the cooki...
3
If Tony normally has a temperature of 95 degrees, and he comes down with a sickness that raises his temperature by 10 degrees, how many degrees above the threshold of fever is his temperature if a fever is anything over 100 degrees?
5
First, we find what Tony's temperature is by adding his normal temperature of 95 to the increase in temperature from the sickness of 10, performing 95+10=<<95+10=105>>105 degrees. Since the threshold for having a fever is 100, we subtract 100 from 105 to find out the answer, performing 105-100=<<105-100=5>>5 degrees ab...
1
James is building an army of Warhammer 40k figurines. It takes him 20 minutes to paint a space marine and 70 minutes to paint a dreadnought. If he paints 6 space marines and 2 dreadnoughts, how long does he spend painting total?
260
First find the total time James spends painting space marines: 20 minutes/marine * 6 marines = <<20*6=120>>120 minutes Then find the total time James spends painting dreadnoughts: 70 minutes/dreadnought * 2 dreadnoughts = 140 minutes Then add the two amounts of time to find the total time James spends painting: 120 min...
2
Oliver wonders how much water his bathtub can hold. So he takes a bucket that holds 120 ounces and starts filling the bathtub. When it reaches the top, he sees that he filled it 14 times. Then he wonders how much bathwater he uses, so he starts taking away buckets until it gets to the level he puts it at. He needs to t...
9,240
He uses 11 buckets to fill his bath normally because 14 - 3 = <<14-3=11>>11 He uses 1, 320 ounces a day for his baths because 11 x 120 = <<11*120=1320>>1,320 He uses 9, 240 ounces a week for his baths because 7 x 1,320 = <<7*1320=9240>>9,240 #### 9,240
2
Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many tim...
2
For interrupting, Jerry got 5 points per interruption * 2 interruptions = <<5*2=10>>10 points For insulting, he got 10 points per insult * 4 insults = <<10*4=40>>40 points To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = <<100-10-40=50>>50 points left He still has 50 points / 25 points per...
1
Jackson is buying school supplies for his third grade class, which has 30 students. Each student needs 5 pens, 3 notebooks, 1 binder and 2 highlighters. Pens cost $0.50, notebooks cost $1.25, binders cost $4.25, and highlighters cost $0.75. If Jackson gets a $100 teacher discount, how much does he spend on school suppl...
260
First calculate the cost of the pens for one student by multiplying the number of pens by the cost per pen: 5 pens * $0.50/pen = $<<5*0.5=2.50>>2.50 Then calculate the cost of the notebooks for one student by multiplying the number of notebooks by the cost per notebook: 3 notebooks * $1.25/notebook = $<<3*1.25=3.75>>3....
2
At the beginning of the day, Principal Kumar instructed Harold to raise the flag up the flagpole. The flagpole is 60 feet long, and when fully raised, the flag sits on the very top of the flagpole. Later that morning, Vice-principal Zizi instructed Harold to lower the flag to half-mast. So, Harold lowered the flag h...
180
Half of the distance up the flagpole is 60/2 = <<60/2=30>>30 feet. Thus, Harold moved the flag 60 up + 30 down + 30 up + 60 down = <<60+30+30+60=180>>180 feet. #### 180
3
Mike wants to buy a new car. He has chosen a red car for $35000. To be able to pay this price, he needs to loan part of the money from the bank, at a rate of 15%. How much money in total will Mike need to pay for the car, if he has to take $20000 from the bank?
38,000
The rate of the loan is 15%, which means Mike needs to give the bank an additional 20000 * 15/100 = $<<20000*15/100=3000>>3000. So the car will cost him 35000 + 3000 = $<<35000+3000=38000>>38000. #### 38000
3
Ella spends 40% of the money she makes from babysitting on video games. Last year she spent $100. This year she received a 10% raise. What is Ella’s new salary?
275
Last year Ella made a total of $100 / (40/100) = $<<100/(40/100)=250>>250 This year with her raise, Ella’s salary will be $250 * (110/100) = $<<250*(110/100)=275>>275 #### 275
2
Lee had $10 and his friend had $8. They went to a restaurant where they ordered chicken wings for $6 and a chicken salad for $4. They also got 2 sodas for $1.00 each. The tax came to $3. How much change should they have received in total?
3
Lee and his friend had a total of $10 + $8 = $<<10+8=18>>18. The cost of the food was $6 + $4 + $1 + $1 = $<<6+4+1+1=12>>12. The total cost, including tax was $12 + $3 = $<<12+3=15>>15. They should have received $18 - $15 = $<<18-15=3>>3 in total. #### 3
0
Rosalina receives gifts from three people on her wedding day. How many gifts did she get if Emilio gave 11 gifts, Jorge gave 6 gifts, and Pedro gave 4 gifts?
21
If Emilio presents 11 gifts and Jorge 6 gifts, together they have presented 11+6=<<11+6=17>>17 gifts. If Pedro also gives Rosalinda 4 gifts, Rosalinda's total number is 17+4 = <<17+4=21>>21 gifts. #### 21
0
Lionel walked 4 miles. Esther walked 975 yards and Niklaus walked 1287 feet. How many combined feet did the friends walk?
25,332
Lionel = 4 * 5280 = <<4*5280=21120>>21120 feet Esther = 975 * 3 = <<975*3=2925>>2925 feet Together = 21120 + 2925 + 1287 = <<21120+2925+1287=25332>>25332 feet Together the friends walked 25332 feet. #### 25332
1
Keesha wants to get her hair and nails done for prom. Hair updos cost $50 and manicures cost $30. How much will these two services cost her with a 20% tip for each beautician?
96
Tip for the hair stylist will be $50 x 20% = $<<50*20*.01=10>>10. Tip for the manicurist will be $30 x 20% = $<<30*20*.01=6>>6. Total tips will be $10 + $6 = $<<10+6=16>>16. Total for hair and nails is $50 + $30 = $<<50+30=80>>80. Total for the two services plus tip is $80 + $16 = $<<80+16=96>>96. #### 96
2
Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job pays $9 per hour then how much money, in dollars, did Mike receive from his first job?
52
From his second job, Mike receives $9/hour * 12 hours = $<<9*12=108>>108. He therefore earned $160 – $108 = $<<52=52>>52 from his first job. #### 52
2
Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy?
15
Let A be Matthew’s age. Rebecca is A - 2 years old. Freddy is A + 4 years old. Their ages add up to 35, so A + A - 2 + A + 4 = 3A + 2 = 35. Therefore, 3A = 35 - 2 = 33. Matthew is A = 33 / 3 = <<33/3=11>>11 years old. Thus, Freddy is 11 + 4 = <<11+4=15>>15 years old. #### 15
3
Lauryn owns a computer company that employs men and women in different positions in the company. How many men does he employ if there are 20 fewer men than women and 180 people working for Lauryn?
80
Let's say the number of men working at the company is x. Since there are 180 people, and the number of men is 20 fewer than the number of women, then x+x+20 = 180 The total number of employees in the company is 2x+20 = 180 2x=180-20 2x=160 The number of men is x=160/2 There are x=80 men in the company. #### 80
0
For football season, Zachary wants to buy a new football, a pair of shorts, and a pair of football shoes. The ball costs $3.75, the shorts cost $2.40, and the shoes cost $11.85. Zachary has $10. How much more money does Zachary need?
8
The total cost of the ball, the shorts, and the shoes is $3.75 + $2.40 + $11.85 = $<<3.75+2.4+11.85=18>>18. Zachary needs $18 − $10 = $8 more. #### 8
2
Marge had a winning lottery ticket for $12006 and wanted to spend some of it wisely before using on any fun things. She paid half of the lottery amount for the taxes on her winnings, then put a third of the leftover money towards her student loans. She put $1000 in savings and invested a fifth of that amount in the sto...
2,802
Marge used half the $12006 for taxes, so she had 12006 / 2 = $<<12006/2=6003>>6003 left. She used 1/3 of the leftover money on student loans, so she paid 6003 / 3 = $<<6003/3=2001>>2001. After paying the student loans, she had 6003 - 2001 = $<<6003-2001=4002>>4002 left. She put $1000 in savings, so she had 4002 - 1000 ...
3
A box is 8 inches in height, 10 inches in width, and 12 inches in length. A wooden building block is 3 inches in height, 2 inches in width, and 4 inches in length. How many building blocks can fit into the box?
40
The volume of the box is 8 x 10 x 12 = <<8*10*12=960>>960 cu in. The volume of a wooden block is 3 x 2 x 4 = <<3*2*4=24>>24 cu in. 960/24 = <<960/24=40>>40 wooden blocks can fit into the box. #### 40
3
Mrs. Brynlee reduced the prices of items in her store by 20% after the local government gave small businesses in her county a subsidy. If the price of a shirt in the store was $60 and that of the leather jacket was $90, calculate the amount of money Teagan will pay for buying 5 shirts and 10 leather jackets at the redu...
960
If the price of a shirt in the store was $60, its price was reduced by 20/100*$60=$<<60*20/100=12>>12 The price of a shirt was reduced to $60-$12=$<<60-12=48>>48 Teagan will pay $48*5= $<<48*5=240>>240 for buying 5 shirts If the initial price of the leather jacket was $90, the price reduced by 20/100*$90=$<<90*0.2=18>>...
2
Rick took off on a road trip for the summer. He traveled to the first destination on his trip, and then from there, he traveled twice the distance to this second destination. The third point on his trip was 40 miles away, which was half the distance he traveled from the beginning to his first destination. The final ...
560
If the third leg of Rick's trip was half the distance of the first leg, was 40 miles, this means the first leg was 40*2=<<40*2=80>>80 miles long If the second leg of the trip was twice the distance of the first leg, that means it was 80*2=<<80*2=160>>160 miles long If the fourth leg was equal in distance to the total a...
3
Hannah has 5 times as many dolls as her sister. Her sister has 8 dolls. How many dolls do they have altogether?
48
Hanna has 5 times as many dolls as her sister, so 5 x 8 dolls = <<5*8=40>>40 dolls. Together, they have 8 dolls + 40 dolls = <<8+40=48>>48 dolls. #### 48
2
During his summer break, Luke catches 2 fish every day for 30 days. If each fish gives him 2 fillets, then how many fish fillets does he have?
120
He catches 2 fish every day for 30 days so he catches 2*30 = <<2*30=60>>60 fish Each fish yields 2 fillets so he has 2*60 = <<2*60=120>>120 fish fillets #### 120
2
Laura wants to bake a cake for her mother. She checks the recipe and the pantry and sees that she needs to buy 2 cups of flour, 2 cups of sugar, a cup of butter, and two eggs. The flour costs $4. The sugar costs $2. The eggs cost $.5, and the butter costs $2.5. When she is done baking it, she cuts the cake into 6 slice...
6
The cake cost $9 in total because 4 + 2 + .5 + 2.5 = <<4+2+.5+2.5=9>>9 Each slice costs $1.5 because 9 / 6 = <<9/6=1.5>>1.5 The dog ate 4 slices because 6 - 2 = <<6-2=4>>4 The amount the dog ate cost $6 because 4 x 1.5 = <<4*1.5=6>>6 #### 6
3
Mary has 26 blue shirts and 36 brown shirts. If she gives away half of her blue shirts and a third of her brown shirts, how many shirts does she have left?
37
Mary gives away 26/2 = <<26/2=13>>13 blue shirts. Mary gives away 36/3 = <<36/3=12>>12 brown shirts. Mary has 26-13 = <<26-13=13>>13 blue shirts left. Mary has 36-12 = <<36-12=24>>24 brown shirts left. Mary has 13+24 = <<13+24=37>>37 shirts left. #### 37
1
The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have t...
94
Let x be the score that William needs to achieve. Since there are 30 people in the class, there are 30 - 1 = <<30-1=29>>29 people without him. Since their average was a 74%, this means that (29 * 74 + x) / 30 >= 75. Thus, 29 * 74 + x >= 30 * 75 Thus, 29 * 74 + x >= 2250 Thus, 2146 + x >= 2250 Thus, x >= 2250 - 2146 Thu...
3
A school is planning a community outreach program. Each classroom must raise $200 for this activity. Classroom A has raised $20 from each of two families, $10 from each of eight families, and $5 from each of ten families. How much more money does Classroom A need in order to reach the goal?
30
Classroom A raised 2 x $20 = $<<2*20=40>>40 from two families. They raised 8 x $10 = $<<8*10=80>>80 from eight families. They raised 10 x $5 = $<<10*5=50>>50 from ten families. Altogether, they raised $40 + $80 + $50 = $<<40+80+50=170>>170. Therefore, they need $200 - $170 = $<<200-170=30>>30 more to reach the goal. ##...
0
Heath spent his weekend helping at his uncle’s farm planting carrots. He planted 400 rows of carrots with 300 plants in each row. He used a machine to get the planting done and it took him 20 hours. How many carrots did he plant each hour?
6,000
Heath planted 400 rows x 300 plants = <<400*300=120000>>120,000 carrot plants. He planted 120,000 plants in 20 hours, or 120,000 / 20 = <<120000/20=6000>>6,000 plants per hour. #### 6,000
2
Ronald is rolling a die and won't stop rolling until the average of all his rolls is a 3. He rolls a 1, a 3, a 2, a 4, a 3, a 5, a 3, a 4, a 4 and a 2. What does he need to roll on the next roll to be able to stop?
2
The next roll will be his 11th roll. The total on this tenth roll to have an average of 3 is 33, because 3 * 11 = <<33=33>>33 His current total is 31 because 1 + 3 + 2 + 4 + 3 + 5 + 6 + 1 + 4 + 2= <<1+3+2+4+3+5+6+1+4+2=31>>31 He needs to roll a 2 because 33 - 31 = <<33-31=2>>2 #### 2
3
Francine drives 140km to work each day. If she does not go to work 3 days every week, find the total distance she drives to work for 4 weeks in kilometers.
2,240
There are 7 days in a week, so if he doesn't go to work for 3 days, he goes 7-3 = <<7-3=4>>4 days every week He travels 140km each day for a weekly total of 140*4 = <<140*4=560>>560km In 4 weeks he will travel a total of 4*560 = <<4*560=2240>>2240km #### 2240
2
In twenty years, Ramon will be twice as old as Loui today. If Loui is currently 23 years old, how old is Ramon now?
26
If Loui is currently 23 years old, twice her age, which is the same as twice Ramon's age in twenty years, is 23*2=<<23*2=46>>46 If in twenty years Ramon will be 46, currently he is 46-20= <<46-20=26>>26 years old. #### 26
0
The dog toys Samantha buys for her dog are "buy one get one half off" and all cost $12.00 each. She buys 4 toys. How much does she spend on dog toys?
36
If she buys 1 toy at $12.00 she gets the 2nd toy 1/2 off, the 2nd toy is 12*.5 = $<<12*.5=6.00>>6.00 1 full-priced toy is $12.00 and 1/2 priced toy is $6.00 so these 2 toys come to 12+6 = $<<12+6=18.00>>18.00 She buys 2 more toys that are "buy one get one 1/2 off" so all total she spends 2*18 = $<<2*18=36.00>>36.00 ###...
2
A charcoal grill burns fifteen coals to ash every twenty minutes of grilling. The grill ran for long enough to burn three bags of coals. Each bag of coal contains 60 coals. How long did the grill run?
240
The grill burned 3 * 60 = <<3*60=180>>180 coals. It takes 20 minutes to burn 15 coals, so the grill ran for 180 / 15 * 20 = <<180/15*20=240>>240 minutes. #### 240
0
Carrie is wrapping three birthday presents. One present needs two square feet of wrapping paper to cover. The second present needs three-quarters of that amount. The third present needs the same amount as both other presents put together. How many square feet of wrapping paper does Carrie need for all three presents?
7
The second present needs 3 / 4 * 2 = 1 1/2 square feet of wrapping paper. The third present needs 2 + 1 1/2 = 3 1/2 square feet of wrapping paper. Therefore, Carrie needs 2 + 1 1/2 + 3 1/2 = 7 square feet of wrapping paper for all three presents. #### 7
2
Barbara asked the butcher for 4 1/2 pound steaks that cost $15.00/pound. She also asked for a pound and half of chicken breasts that were $8.00 a pound. How much did she spend at the butchers?
42
She ordered 4 1/2 pound steaks so that's 4*.5 = <<4*.5=2>>2 pounds of steak. The steak cost $15.00 a pound and she bought 2 pounds so that's 15*2 = $<<15*2=30.00>>30.00 for 4 steaks. She also needed 1.5 pounds of chicken breasts at $8.00 a pound so that's 1.5*8 = $<<1.5*8=12.00>>12.00 for chicken. The steaks cost $30.0...
3
The total for the sum and product of Elvie's age and Arielle's age are 131. If Elvie's age is 10, how old is Arielle?
11
Let's say Arielle's age is x The sum of Elvie's age and Arielle's age is 10+x The product of their ages is 10*x The total for the sum and product of their ages is 10+x+10*x = 131 To find Ariel's age, we evaluate x, which is 10+11x = 131 This gives us a total of 11x=121 Arielle's age is x=121/11 The value of x, which is...
2
A local farmer is paying 4 kids to help plant rows of corn. Every row of corn contains 70 ears. A bag of corn seeds contains 48 seeds and you need 2 seeds per ear of corn. He pays the kids $1.5 per row. Afterward, the kids are so hungry that they end up spending half their money on dinner. The dinner cost $36 per kid. ...
140
The dinner cost $144 dollars because 4 x 36 = <<4*36=144>>144 The kids earned $288 in total because 144 x 2 = <<144*2=288>>288 They planted 192 rows of corn because 288 / 1.5 = <<288/1.5=192>>192 They planted 13,440 ears of corn in total because 192 x 70 = <<192*70=13440>>13,440 They each planted 3,360 ears of corn bec...
3
In 7 years, Kaylee will be 3 times as old as Matt is now. If Matt is currently 5 years old, how old is Kaylee now?
8
In 7 years, Kaylee will be 5 * 3 = <<5*3=15>>15 years old Let x be the age Kaylee is now. After 7 years, Kaylle will be 15 years old, so x + 7 = 15 x = 15 - 7 x = <<8=8>>8 years old #### 8
0
Olivia gave William 10 napkins. Amelia also gives William twice the number of napkins Olivia gave him. If William had 15 napkins before, how many napkins does he have now?
45
After Olivia gave William 10 napkins, he ends up with 15+10= <<10+15=25>>25 napkins. Amelia gives William twice the number of napkins given to him by Amelia which is 2*10 = <<2*10=20>>20 napkins. The total number of napkins William has now is 20+25 = <<20+25=45>>45 napkins. #### 45
1
Free Christmas decorations are being given out to families. Each box of decorations contains 4 pieces of tinsel, 1 Christmas tree and 5 snow globes. If 11 families receive a box of decorations and another box is given to the community center, how many decorations have been handed out?
120
Each box contains 4 tinsel + 1 tree + 5 snow globes = <<4+1+5=10>>10 decorations. A total of 11 family boxes + 1 community center box = <<11+1=12>>12 boxes have been given out. So the total number of decorations given out is 10 decorations * 12 boxes = <<10*12=120>>120 decorations. #### 120
2
At Ken's local store, a pound of steak is going for $7. He decides to get two pounds. At the till, he pays using a $20 bill. How much money will he get back?
6
2 pounds of steak will cost Ken 2 * 7 = <<2*7=14>>14 dollars Subtracting that amount from $20 will give 20 - 14 = <<20-14=6>>6 dollars Ken will therefore get 6 dollars back. #### 6
2
Pauline will make tacos for dinner. She bought a box of taco shells that cost $5, 4 bell peppers that cost $1.5 each, and 2 pounds of meat that cost $3 per pound. How much did she spend in all?
17
She spent 4 x $1.5 = $<<4*1.5=6>>6 for the four bell peppers. She spent 2 x $3 = $<<2*3=6>>6 for the 2 pounds of meat. So, Pauline spent $5 + $6 + $6 = $<<5+6+6=17>>17 in all. #### 17
2
Ann is baking cookies. She bakes three dozen oatmeal raisin cookies, two dozen sugar cookies, and four dozen chocolate chip cookies. Ann gives away two dozen oatmeal raisin cookies, 1.5 dozen sugar cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep?
36
Ann had 3 dozen oatmeal cookies - 2 dozen = <<3-2=1>>1 dozen oatmeal cookies left. Ann had 2 dozen sugar cookies - 1.5 dozen = <<2-1.5=.5>>.5 dozen sugar cookies left. Ann had 4 dozen chocolate chip cookies - 2.5 dozen = 1.5 dozen chocolate chip cookies left. Ann has a total of 1 + .5 + 1.5 dozen cookies = <<1+.5+1.5=3...
2
Five people are planning a party. Sonja will buy a loaf of French bread ($3 a loaf) and a platter of cold cuts ($23). Barbara will buy the soda ($1 per person) and two boxes of crackers ($2 per box). Mario and Rick will split the cost of two packages of Cheese Doodles ($3 per package). Danica will supply a package of p...
7
Sonja will spend $3 + $23 = $<<3+23=26>>26. Barbara will spend 5 + ( 2 * 2) = $<<5+2*2=9>>9. Mario and Rick will spend 2 * 3 = $<<2*3=6>>6. Everyone but Sonijs spend $9 + $6 + $4 = $<<9+6+4=19>>19. Sonija spent $26 - $19 = $<<26-19=7>>7 more than the rest of the people at the party. #### 7
3
Enid and Aaron are knitting clothes for their store. Aaron makes 10 scarves and 5 sweaters, and Enid makes 8 sweaters. If a scarf uses 3 balls of wool and a sweater uses 4 balls of wool, how many balls of wool did Enid and Aaron use in total?
82
Aaron used 10 scarves * 3 balls of wool = <<10*3=30>>30 balls of wool to make his scarves. He also used 5 sweaters * 4 balls of wool = <<5*4=20>>20 balls of wool to make his sweaters. Enid used 8 sweaters * 4 balls of wool = <<8*4=32>>32 balls of wool to make her sweaters. So in total, Aaron used 30 + 20 + 32 = <<30+20...
1
Hannah wants to save $80 for five weeks. In the first week, she saved $4 and she plans to save twice as much as her savings as the previous week. How much will she save in the fifth week to reach her goal?
20
In the second week, Hannah will save $4 x 2 = $<<4*2=8>>8. In the third week, she will save $8 x 2 = $<<8*2=16>>16. In the fourth week, she will save $16 x 2 = $<<16*2=32>>32. Her total savings for a month will be $4 + $8 + $16 + $32 = $<<4+8+16+32=60>>60. Hannah needs to save $80 - $60 = $<<80-60=20>>20 in the fifth w...
2
Jan buys 5 dozen roses. Each rose cost $6. Since he bought so many he only needs to pay 80%. How much did he pay?
288
He got 5*12=<<5*12=60>>60 roses So the cost was 6*60=$<<6*60=360>>360 So he has to pay 360*.8=$<<360*.8=288>>288 #### 288
3
If the first skyscraper was built 100 years ago, how many years in the future will it be 5 years before its 200th anniversary of being built?
95
First, we perform 200-5=<<200-5=195>>195 to find the number of total years from the building being built that we're looking for. Then, we subtract out the 100 years that have already passed to determine the remaining amount of time, performing 195-100= <<195-100=95>>95 years in the future. #### 95
3
Madison makes 30 paper boats and sets them afloat. 20% are eaten by fish and Madison shoots two of the others with flaming arrows. How many boats are left?
22
First find the number of boats eaten by fish: 30 boats * 20% = <<30*20*.01=6>>6 boats Then subtract the two groups of boats that were destroyed from the original number to find the number left: 30 boats - 6 boats - 2 boats = <<30-6-2=22>>22 boats #### 22
1
Bobby buys two packets of candy. He eats two candies every day from Monday through Friday and takes one each during the remaining days of the week. If it takes him 3 such weeks to finish the 2 packets, how many candies are in a packet?
18
He eats 2 each from Monday through Friday for a total of 2*5 = <<2*5=10>>10 candies He eats 1 each every other day of the week (Saturday and Sunday) for a total of 1*2 = <<1*2=2>>2 candies In a week, he consumes a total of 10+2 = <<10+2=12>>12 candies Doing this for 3 weeks, he will consume 3*12 = <<3*12=36>>36 candies...
3
Troy had 300 straws. He fed 3/5 of the straws to the adult pigs and an equal number of straws to the piglets. If there were 20 piglets, how many straws did each piglet eat?
6
The adult pigs ate 3/5*300 = <<3/5*300=180>>180 straws. The total number of straws that the piglets shared is 300-180 = <<300-180=120>>120 Since there were 20 piglets, each piglet ate 120/20 = <<120/20=6>>6 straws #### 6
3
John buys 4 pounds of beef. He uses all but 1 pound in soup. He uses twice as many pounds of vegetables as beef. How many pounds of vegetables did he use?
6
He used 4-1=<<4-1=3>>3 pounds of beef So he used 3*2=<<3*2=6>>6 pounds of vegetables #### 6
2
Drew is reseeding his lawn with grass seed. One bag of grass seed covers 250 square feet of lawn. His lawn is 22 feet from the house to the curb and 36 feet from side to side. He bought four bags of seed. How many extra square feet could the leftover grass seed cover after Drew reseeds his lawn?
208
Drew’s lawn is 22 * 36 = <<22*36=792>>792 square feet. He bought enough grass seed to cover 250 * 4 = <<250*4=1000>>1000 square feet. Thus, the leftover grass seed can cover 1000 - 792 = <<1000-792=208>>208 square feet. #### 208
1