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Jenny got a 95 on her paper. Jason's grade was 25 points less than Jenny's, and Bob's grade was equal to half of Jason's grade. What was Bob's grade?
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First find Jason's grade by subtracting 25 from Jenny's grade: 95 - 25 = <<70=70>>70
Then divide Jason's grade by 2 to find Bob's grade: 70 / 2 = <<70/2=35>>35
#### 35
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The price of candy bars is twice the cost of caramel, and the cost of cotton candy is half the price of 4 candy bars. If the price of 1 caramel is $3, how much do 6 candy bars, 3 caramel, and 1 cotton candy cost together?
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The candy bars each cost $3 * 2 = $<<3*2=6>>6.
The cotton candies each cost 1/2 * (4 * $6) = $12
6 candy bars cost 6 bars * $6/bar = $<<6*6=36>>36.
3 caramels cost 3 caramels * $3/caramel = $<<3*3=9>>9.
All the candies together cost $36 + $9 + $12 = $<<36+9+12=57>>57.
#### 57
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At a UFO convention, there are 120 conference attendees. If there are 4 more male attendees than female attendees, how many male attendees are there?
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Let's assume the number of female attendees is x.
The number of male attendees is x+4.
The sum of male attendees and female attendees is x+x+4 = 120
2x+4 = 120
2x = 116
The number of female attendees is x=116/2 = <<116/2=58>>58
The number of male attendees is 58+4 = <<58+4=62>>62
#### 62
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John scores 2 shots worth 2 points and 1 shot worth 3 points every 4 minutes. He plays for 2 periods. Each period is 12 minutes. How many points does he score?
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He played for 2*12=<<2*12=24>>24 minutes
He gets 2*2=<<2*2=4>>4 points per minute from the two-point shots
So he scores 4+3=<<4+3=7>>7 points per minute
There are 24/4=<<24/4=6>>6 intervals
So he scores 7*6=<<7*6=42>>42 points
#### 42
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Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes 5 cents of profit per package, how much profit per week do the two centers make combined?
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First find how many packages the second center processes per day: 10000 packages/day * 3 = <<10000*3=30000>>30000 packages/day
Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day
Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day
Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week
#### 14000
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Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of construction paper as Allison. If Marie bought 15 glue sticks and 30 packs of construction paper how many craft supply items did Allison buy all together?
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Allison bought 8+15=<<8+15=23>>23 glue sticks
Allison bought 30/6=<<30/6=5>>5 packs of construction paper.
Allison bought 23+5= <<23+5=28>>28 craft supply items
#### 28
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Will's mom gave him $74 to go shopping. He bought a sweater for $9, a T-shirt for $11 and a pair of shoes for $30. He then returned his shoes for a 90% refund. How much money does Will have left?
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Will paid $30 for his shoes but then returned them and got 90% of the money back, so he lost 10% of the money, which means 10/100 * $30 = $<<10/100*30=3>>3 is gone.
Will spent $9 + $11 + $3 = $<<9+11+3=23>>23.
Will started with $74 - $23 that he spent = $<<74-23=51>>51 remaining.
#### 51
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Jake makes a drink that is 2 parts Coke, 1 part Sprite and 3 parts Mountain Dew. If the drink contains 6 ounces of Coke, how many ounces is the drink?
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The drink is 2+1+3=<<2+1+3=6>>6 parts
The drink is 2/6=1/3 coke
So the drink is 6/(1/3)=<<6/(1/3)=18>>18 ounces
#### 18
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Billy is reducing raspberry juice down to make syrup. He reduces 6 quarts of juice to 1/12 of its original volume, then adds 1 cup of sugar. What is the final volume of the syrup in cups? (There are 4 cups in a quart)
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First find the total number of cups of juice: 6 quarts * 4 cups/quart = <<6*4=24>>24 cups
Then find the reduced volume of the juice: 24 cups * 1/12 = <<24*1/12=2>>2 cups
Then add the volume of the sugar to find the total volume of the syrup: 2 cups + 1 cups = <<2+1=3>>3 cups
#### 3
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In the honey shop, the bulk price of honey is $5 per pound and the minimum spend is $40 before tax. The honey is taxed at $1 per pound. If Penny has paid $240 for honey, by how many pounds has Penny’s purchase exceed the minimum spend?
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Including tax, a pound of honey costs 5 + 1 = <<5+1=6>>6 dollars
The minimum purchase equals 40 / 5 = <<40/5=8>>8 pounds of honey.
Penny has bought 240 / 6 = <<240/6=40>>40 pounds of honey
Penny has exceeded the minimum purchase by 40 - 8 = <<40-8=32>>32 pounds.
#### 32
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Donovan Mitchell is currently averaging 26 points per game. His team has played 15 games this season. He has a goal of averaging 30 points per game for the entire 20 game season. How many points does he need to average per game to reach his goal?
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At this point in the season, Donovan has scored 26 * 15 = <<26*15=390>>390 points.
To reach his goal of 30 points per game, he would have to finish the season with a total of 30 * 20 = <<30*20=600>>600 points.
For the remaining 5 games, Donovan needs to score 600 - 390 = <<600-390=210>>210 points.
Therefore, he needs to average 210 / 5 = <<210/5=42>>42 points per game.
#### 42
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A tank with a capacity of 8000 gallons is 3/4 full. Daxton empty's the tank by 40% of the total volume of water in the tank to water his vegetable farm. He then fills the tank with 30% of the volume of water remaining in the tank. Calculate the final volume of water in the tank.
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The volume of water that is in the tank initially is 3/4*8000 = <<3/4*8000=6000>>6000 gallons.
When Daxton empties 40% of the water, he pumps out 40/100*6000 = <<2400=2400>>2400 gallons of water.
The total volume of water remaining in the tank is 6000-2400 = <<6000-2400=3600>>3600 gallons.
Daxton then fills the tank with 30/100*3600 = <<30/100*3600=1080>>1080 gallons of water.
The final volume of water in the tank is 3600+1080 = <<3600+1080=4680>>4680 gallons.
#### 4680
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Genevieve picked some cherries from the supermarket shelves that cost $8 per kilogram. When Genevieve reached the checkout counter, she realized she was $400 short of the total price and her friend Clarice chipped in. If Genevieve had $1600 on her, how many kilograms of cherries did she buy?
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If Genevieve had $1600 on her, and Clarice chipped in with $400, the total cost of the cherries was $1600+$400 = $<<1600+400=2000>>2000
If the cherries cost $8 per kilogram, Genevieve bought $2000/$8 = 250 kilograms of cherry
#### 250
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Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?
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Mimi has 2 x 12 = <<2*12=24>>24 sea shells.
Kyle has 24 x 2 = <<24*2=48>>48 sea shells.
Leigh has 48 / 3 = <<48/3=16>>16 sea shells.
#### 16
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The balance of Pam's bank account tripled during the year. At the end of the year, Pam withdrew $250. If her current balance is $950, how much did she have in the bank account at the beginning of the year?
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First, we have to come up with the balance before her withdrawal. $950 (current) + $250 (withdraw) = $<<950+250=1200>>1200.
Now since we know that is triple, we divide by 3. $1200 / 3 = $<<1200/3=400>>400
#### 400
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To let Ruth know how long her fish will live, her father tells her that well-cared fish can live 2 years longer than dogs live. On average, dogs live 4 times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live?
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Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = <<4*2.5=10>>10 years.
If Ruth takes care of the fish, it can live 10 + 2 = <<10+2=12>>12 years.
#### 12
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Chester must deliver ten bales of hay to Farmer Brown. Farmer Brown wants Chester to supply better quality hay and double the delivery of bales of hay. If the previous hay cost $15 per bale, and the better quality one cost $18 per bale, how much more money will Farmer Brown need to meet his own new requirements?
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The hay previously cost $15 per bale so 10 bales would cost $15*10 = $<<15*10=150>>150
Double 10 bales is 10*2 = <<10*2=20>>20 bales
Better quality hay cost $18 per bale so 20 bales would cost $18*20 = $<<18*20=360>>360
Farmer Brown would need $360-$150 = $<<360-150=210>>210 more
#### 210
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Carter is twice as tall as his 24” tall dog. Betty is 12” shorter than Carter. How tall is Betty in feet?
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Carter is twice as tall as 24” dog so he is 2*24 = <<2*24=48>>48”
Betty is 12” shorter than Carter so Betty is 48-12 = <<48-12=36>>36” tall
12" is the same as 1 foot so Betty is 36/12 = 3 feet tall
#### 3
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Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
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We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y.
Next, we will multiply to find the cross-products. 3 x Y = 15 x 8 or 3Y = 120.
We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y/3 = 120/3 or Y = 40 minutes.
#### 40
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On Tuesday, Mike had 45 books and Corey had twice as many books as Mike. On Wednesday, Mike gave 10 books to Lily, and Corey gave Lily 15 more than Mike gave. How many books did Lily get?
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Corey gave Lily 10+15 = <<10+15=25>>25 books to Lily.
Lily got 25+10 = <<25+10=35>>35 books.
#### 35
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Sun City has 1000 more than twice as many people as Roseville City. Roseville city has 500 less than thrice as many people as Willowdale city. If Willowdale city has 2000 people, how many people live in Sun City?
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Roseville city has 3*2000-500=<<3*2000-500=5500>>5500 people.
Sun City has 2*5500+1000=<<2*5500+1000=12000>>12000 people.
#### 12000
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John takes 3 naps a week. Each nap is 2 hours long. In 70 days how many hours of naps does he take?
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There are 70/7=<<70/7=10>>10 weeks in 70 days.
So he takes 10*3=<<10*3=30>>30 naps
That means he naps for 30*2=<<30*2=60>>60 hours
#### 60
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55% of Toby's friends are boys and the rest are girls. If he has 33 friends who are boys, how many friends does he have who are girls?
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Toby has 60 friends because 33 / .55 = <<33/.55=60>>60
45% of his friends are girls because 100 - 55 = <<100-55=45>>45
He has 27 friends who are girls because 60 x .45 = <<27=27>>27
#### 27
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Jackson buys a computer game for $66 and three movie tickets for $12 each. How much did he spend on entertainment total?
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First find the total amount of money Jackson spent on movie tickets: 3 tickets * $12/ticket = $<<3*12=36>>36
Then add the amount he spent on the video game: $36 + $66 = $<<36+66=102>>102
#### 102
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The cost of building a certain house in an area is 100,000 more than the construction cost of each of the houses in the area. But it sells for 1.5 times as much as the other houses, which sell at $320,000 each. How much more profit is made by spending the extra money to build?
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The house cost 320,000*1.5=$<<320000*1.5=480000>>480,000
So it is worth 480,000-320,000=$<<480000-320000=160000>>160,000 more than other houses
So the profit is 160,000-100,000=$<<160000-100000=60000>>60,000 more
#### 60,000
|
If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house?
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Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1/2)*4 miles = <<4*1/2=2>>2 miles
If Ken goes from his house to Dawn's, he has covered 4 miles
He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4+2 = <<4+2=6>>6 miles.
He goes back to Dawn's (another 2 miles) for a total of 6+2 = <<6+2=8>>8 miles
Then he goes to his own house (4 miles) for a final total of 8+4 = <<8+4=12>>12 miles
#### 12
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While reading about the history of different towns, Jared learned that Euston had 20 more carriages than Norfolk. Norwich had 100 carriages, and Flying Scotsman had 20 more carriages than Norwich. If Euston had 130 carriages, how many carriages are there in all?
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If Flying Scotsman had 20 more carriages than Norwich, and Norwich had 100 carriages, then Flying Scotsman had 100 + 20 = <<20+100=120>>120 carriages.
Together, Flying Scotsman and Norwich had 120 +100 = <<120+100=220>>220 carriages.
If Euston had 130 carriages, 20 more carriages than Norfolk, Norfolk had 130 - 20 = <<130-20=110>>110 carriages.
Together, Euston and Norfolk had 110 + 130 = <<110+130=240>>240 carriages.
Altogether, Euston, Norfolk, Norwich, and Flying Scotsman had 240 + 220 = <<240+220=460>>460 carriages.
#### 460
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Bridget counted 14 shooting stars in the night sky. Reginald counted two fewer shooting stars than did Bridget, but Sam counted four more shooting stars than did Reginald. How many more shooting stars did Sam count in the night sky than was the average number of shooting stars observed for the three of them?
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Reginald counted two fewer shooting stars than did Bridget, or a total of 14-2=<<14-2=12>>12 shooting stars.
Sam counted 4 more shooting stars than did Reginald, or a total of 12+4=16 shooting stars.
The average number of shooting stars observed for the three of them was (14+12+16)/3 = <<14=14>>14 shooting stars.
Thus, Sam counted 16-14=2 more shooting stars than was the average number of shooting stars observed for the three of them.
#### 2
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Melissa bought 4 packs of tennis balls for $24 in total. Each pack contains 3 balls per pack. How much did it cost Melissa for each tennis ball?
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There are 4 packs of tennis balls while each pack has 3 balls. 4 * 3 = <<4*3=12>>12 balls
Melissa spent a total of $24 for a total of 12 balls. $24 / 12 = $<<24/12=2>>2 per ball
#### 2
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Amiyah is cutting some trees to build a cow shade. For every tree she cuts, she plants 5 new trees. If there were 400 trees on her farm and she cut 20% of them, calculate the total number of trees on the farm.
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The number of trees that Amiyah cut is 20/100*400 = <<20/100*400=80>>80
The number of trees remaining on the farm after she cut 80 trees is 400-80 = <<400-80=320>>320
For every tree that Amiyah cut, she plants 5 new trees, and since she cut 80 trees, she planted 80*5 = <<80*5=400>>400 new trees.
The total number of trees on the farm is now 320+400 = <<320+400=720>>720 trees.
#### 720
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For homework, Brooke has 15 math problems, 6 social studies problems, and 10 science problems. He can answer each math problem for 2 minutes while answering each social studies problem takes him 30 seconds. If he can answer each science problem in 1.5 minutes, how long will it take Brooke to answer all his homework?
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Brooke will take 15 x 2 = <<15*2=30>>30 minutes to answer all math problems.
It will take him 6 x 30 seconds = <<6*30=180>>180 seconds to answer all social studies problems.
In minutes, this is equal to 180/60 = <<180/60=3>>3 minutes.
It will take him 10 x 1.5 minutes = <<10*1.5=15>>15 minutes to answer all science problems.
Therefore, Brooke will take 30 + 3 + 15 = <<30+3+15=48>>48 minutes to finish his homework.
#### 48
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John has a donkey and an elephant. The elephant weighs 3 tons (a ton is 2000 pounds). The donkey weighs 90% less. What is their combined weight in pounds?
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The elephant weighs 3*2000=<<3*2000=6000>>6000 pounds
The donkey weighs 6000*.9=<<6000*.9=5400>>5400 pounds less
So the donkey weighs 6000-5400=<<6000-5400=600>>600 pounds
That means the combined weight is 600+6000=<<600+6000=6600>>6600 pounds
#### 6600
|
The price of buying a wooden toy at the new Craftee And Best store is $20, and the cost of buying a hat is $10. If Kendra went to the shop with a $100 bill and bought two wooden toys and three hats, calculate the change she received.
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When Kendra bought 2 toys, she paid 2*$20 = $<<2*20=40>>40
Since the price of a hat is $10, when Kendra bought 3 hats, she paid 3*$10 = $<<3*10=30>>30
The total costs for the hats and wooden toys Kendra bought is $40+$30 = $<<40+30=70>>70
From the $100 bill, Kendra received change worth $100-$70 =$<<100-70=30>>30
#### 30
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Joey needs to take a new prescription. The first day he needs to take one pill. Each day he must take two more pills than the previous day. How many pills will he take in a week?
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For the second day he takes 1 + 2 = <<1+2=3>>3 pills.
For the third day he takes 3 + 2 = <<3+2=5>>5 pills.
For the fourth day he takes 5 + 2 = <<5+2=7>>7 pills.
For the fifth day he takes 7 + 2 = <<7+2=9>>9 pills.
For the sixth day he takes 9 + 2 = <<9+2=11>>11 pills.
For the seventh day he takes 11 + 2 = <<11+2=13>>13 pills.
For the entire week he takes a total of 1 + 3 + 5 + 7 + 9 + 11 + 13 = <<1+3+5+7+9+11+13=49>>49 pills.
#### 49
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Verna weighs 17 pounds more than Haley, and Verna weighs half as much as Sherry. If Haley weighs 103 pounds, how many pounds do Verna and Sherry weigh together?
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Verna weighs 103+17 = <<103+17=120>>120 pounds
Sherry weighs 120*2 = <<120*2=240>>240 pounds
Verna and Sherry weigh 120+240=<<120+240=360>>360 pounds together.
#### 360
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Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary?
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First find the total time Mary's trip takes: 630 feet / 90 feet/minute = <<630/90=7>>7 minutes
Then find the total time Ann's trip takes: 800 feet / 40 feet/minute = <<800/40=20>>20 minutes
Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = <<20-7=13>>13 minutes
#### 13
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One of the clubs at Georgia's school was selling carnations for a fundraising event. A carnation costs $0.50. They also had a special where you could buy one dozen carnations for $4.00. If Georgia sent a dozen carnations to each of her 5 teachers and bought one carnation for each of her 14 friends, how much money would she spend?
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She wants to send a dozen carnations that cost $4/dz to each of her 5 teachers, so 4*5 = $<<4*5=20>>20
She has 14 friends and she knows a dozen carnations is cheaper than buying 12 single carnations. So 14-12 = <<14-12=2>>2 single carnations are needed
A single carnation cost $0.50 so 2*.50 = $<<2*.50=1.00>>1.00
All total she will spend 20+4+1 = $<<20+4+1=25.00>>25.00 on carnations
#### 25
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Rose bought her mother one dozen flowers. Two of the flowers are daisies. Three-fifths of the remaining flowers are tulips and the rest are sunflowers. How many sunflowers are there?
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One dozen of flowers is equal to 1 x 12 = <<1*12=12>>12 flowers.
There are 12 - 2 = <<12-2=10>>10 flowers that are not daisies.
So, 10 x 3/5 = 6 of the flowers are tulips.
Therefore, there are 10 - 6 = <<10-6=4>>4 sunflowers.
#### 4
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An apartment complex has 4 identical buildings. Each building has 10 studio apartments, 20 2 person apartments, and 5 4 person apartments. How many people live in the apartment complex if it has 75% of its maximum occupancy?
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First, we find out how many people live in each building. In addition to 10 1 person apartments, as a studio apartment is for a single person, there are 20 2 person apartments meaning there are 20*2=<<20*2=40>>40 people capable of living there.
We then find out how many people can live in the 4 person apartments by multiplying the number of available 4 person apartments by 4, performing 5*4=20 people capable of living there.
So, in 1 building there is room for 10+40+20=<<10+40+20=70>>70 people.
We multiply this by the 4 buildings in total, finding a maximum occupancy of 4*70=<<4*70=280>>280 people
We then multiply this by .75 to find out how many people would live there at 75% of maximum occupancy, performing 280*.75= <<210=210>>210 people.
#### 210
|
In a bowl of fruit, there are 2 bananas, twice as many apples, and some oranges. In total there are 12 fruits in the bowl. How many oranges are in the bowl?
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In the bowl, there are twice more apples than bananas, so there are 2 * 2 = <<2*2=4>>4 apples.
That means there are 12 - 4 - 2 = <<12-4-2=6>>6 oranges in the bowl.
#### 6
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To try to get the class to eat more vegetables, the teacher says that she will start giving them good character points that the class can redeem for a movie day if they earn enough. The students need to earn 200 points to win the movie day. Each time a student eats their vegetables at lunch she gives the student 2 points. There are 25 students in the class. If they have two school weeks, otherwise known as 10 days to win the movie, what is the average number of vegetables each student must eat per school week to get a movie day?
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The students need eat 100 vegetables in total because 200 / 2 = <<200/2=100>>100
Each student needs to eat on average 4 vegetables because 100 / 25 = <<100/25=4>>4
Each student needs to eat 2 vegetables per school week because 4 / 2 = <<4/2=2>>2
#### 2
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The number of math problems that Marvin practiced today is three times as many as the number of problems he solved yesterday. His friend, Arvin, has practiced twice as many math problems on each day. How many math problems have they practiced altogether if Marvin solved 40 math problems yesterday?
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If Marvin solved 40 math problems yesterday, he has solved 40*3 = <<40*3=120>>120 math problems today.
The total number of math problems that Marvin has practiced is 120+40 = <<120+40=160>>160
Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = <<160*2=320>>320 problems.
Together, Marvin and Arvin have solved 320+160 = <<320+160=480>>480 math problems.
#### 480
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Pam has some bags of apples. Each of her bags has as many apples as 3 of Gerald's bags. Gerald's bags have 40 apples each. If Pam has 1200 apples in total, how many bags of apples does she have?
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Each of Pam's bags contain 40*3=<<40*3=120>>120 apples.
Pam has 1200/120=<<1200/120=10>>10 bags of apples.
#### 10
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John and James decided to have a dance-off. John danced for 3 hours and then another 5 hours after taking a 1-hour break. James danced the whole time John was dancing and resting, and then another 1/3 times more hours. How long was their combined dancing time without including John's break time?
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John dances 3+5=<<3+5=8>>8 hours
John's total time is 3+5+1=<<3+5+1=9>>9 hours
James dances 9/3=<<9/3=3>>3 hours longer than that
So James dances 9+3=<<9+3=12>>12 hours
So the total dancing time is 8+12=<<8+12=20>>20 hours
#### 20
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Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has 600 meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make?
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Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk.
This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage.
He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses.
#### 100
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The cost of Joe's new HVAC system is $20,000. It includes 2 conditioning zones, each with 5 vents. In dollars, what is the cost of the system per vent?
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Two zones with 5 vents per zone is 2*5=<<2*5=10>>10 vents.
Thus, the $20,000 system costs $20,000/10 = $<<20000/10=2000>>2,000 per vent.
#### 2,000
|
Veronica, who is the team captain of their school football team, carried 27 yellow balls and 33 brown balls to the field for the team's matchday practice. What percentage of the balls that she carried were yellow?
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The total number of balls that she carried is 27+33=<<27+33=60>>60
The percentage that represents the yellow balls is 27/60*100%=<<27/60*100=45>>45%
#### 45
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During a school meeting, 300 students and 30 teachers are seated but 25 students are standing. How many attended the school meeting?
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There are 300 students + 30 teachers = <<300+30=330>>330 people that are seated.
Since there 25 students that are standing, so 330 + 25 = 355 people who attended the school meeting.
#### 355
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A king gets a crown made that costs $20,000. He tips the person 10%. How much did the king pay after the tip?
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The tip was 20000*.1=$<<20000*.1=2000>>2000
So the total cost was 2000+20000=$<<2000+20000=22000>>22000
#### 22000
|
Monika went out for the day and spent some money. She went to the mall and spent $250. Then, she went to the movies and watched 3 movies back to back that each cost $24. Then she stopped by the farmer's market on her way home and got 20 bags of beans at $1.25/bag. How much money did Monika spend throughout her day?
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Monika spent 24*3 = <<24*3=72>>72 dollars at the movies.
Monika spent 20*1.25 = <<20*1.25=25>>25 dollars at the farmers market.
Throughout her day, Monika spent 250+72+25 = <<250+72+25=347>>347 dollars.
#### 347
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Toms car gets 50 miles to the gallon. He drives 75 miles per day. If gas is $3 per gallon how much does he spend on gas in 10 days?
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He drives 75*10=<<75*10=750>>750 miles
So he uses 750/50=<<750/50=15>>15 gallons
That means he spends 15*3=$<<15*3=45>>45 on gas
#### 45
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There are 3 meatballs on each spaghetti plate. If Theresa's 3 sons each eat two-thirds of the meatballs on their respective plates, how many meatballs are still left on their plates altogether?
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Total meatballs on the plates 3 x 3 = <<3*3=9>>9.
If two-thirds are eaten, one-third remaining on the plates is 9 / 3 = <<9/3=3>>3.
#### 3
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In the garden, the gecko eats 12 bugs. The lizard eats half as many bugs as the gecko. The frog eats 3 times as many bugs as the lizard. The toad eats 50% more bugs than the frog. How many bugs are eaten in total by all of them?
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Lizard eats 12 / 2 = <<12/2=6>>6 bugs.
Frog eats 6 x 3 = <<6*3=18>>18 bugs.
Toad eats 18 x 1.50 = <<18*1.50=27>>27 bugs.
The lizard, frog and toad eat 6 + 18 + 27 = <<6+18+27=51>>51 bugs.
Adding what the gecko eats, a total of 12 + 51 = <<12+51=63>>63 bugs are eaten.
#### 63
|
Eric, Ben, and Jack have some money. Eric has $10 less than Ben, and Ben has $9 less than Jack. If Jack has $26, how much money, in dollars, do all 3 of them have in total?
|
Ben has 26-9=<<26-9=17>>17 dollars.
Eric has 17-10=<<17-10=7>>7 dollars.
They have 26+17+7=<<26+17+7=50>>50 dollars in total.
#### 50
|
Mark is reading books, for 2 hours each day. He decided to increase his time spent on reading books weekly, by 4 hours. How much time does Mark want to spend during one week on reading books?
|
Currently, Mark is reading books for 2 * 7 = <<2*7=14>>14 hours weekly.
His goal is to read books, for 14 + 4 = <<14+4=18>>18 hours during one week.
#### 18
|
There are 50 oysters on the rocks at La Push Park and 72 crabs by the beach. Eric, who loves walking by the beach, makes a note of this and goes home. The next day, he realizes only half the number of Oysters were on the rocks, and only 2/3 the number of crabs as the previous day are on the beach. How many oysters and crabs did he count in total in the two days?
|
The first day he saw 50 oysters + 72 crabs = <<50+72=122>>122 animals.
On the second day, he saw 1/2 * 50 oysters = <<1/2*50=25>>25 oysters.
The number of crabs by the beach on the second day was 2/3 * 72 crabs = <<2/3*72=48>>48
He saw 48 crabs + 25 oysters = <<48+25=73>>73 animals on the second day.
The total for the two days is 73 animals + 122 animals = <<73+122=195>>195 animals
#### 195
|
A vendor bought apples at 2 for $3 and plans to sell them at 5 for $10. He also bought 3 oranges for $2.70 and plans to sell them at $1 each. How much is his profit if he sells 5 apples and 5 oranges?
|
A vendor bought each apple for $3/2 = $<<3/2=1.50>>1.50.
He will sell each apple at $10/5 = $<<10/5=2>>2 each.
His profit for each apple is $2 - $1.50 = $<<2-1.5=0.50>>0.50.
His total profit for 5 apples is $0.50 x 5 = $<<0.50*5=2.50>>2.50.
He bought each orange for $2.70/3 = $<<2.7/3=0.90>>0.90.
His profit for each orange is $1 - $0.90 = $<<1-0.9=0.10>>0.10.
His total profit for 5 oranges is $0.10 x 5 = $<<0.10*5=0.50>>0.50.
Therefore, his total profit for selling 5 apples and 5 oranges is $2.50 + $0.50= $3.
#### 3
|
Chris has twelve marbles, and Ryan has twenty-eight marbles. If they put marbles together in a pile and then each takes away 1/4 of marbles from the pile, calculate the number of marbles remaining in the pile.
|
If Chris and Ryan put together their marbles in a pile, the pile will have 12+28 = <<12+28=40>>40 marbles.
If they then take 1/4 of the marbles each, every person will receive 1/4*40 = <<1/4*40=10>>10 marbles.
Both of them will have taken a total of 10+10 = <<10+10=20>>20 marbles.
The number of marbles remaining in the pile is 40-20 = <<40-20=20>>20
#### 20
|
A family went out to see a movie. The regular ticket costs $9 and the ticket for children is $2 less. They gave the cashier two $20 bills and they received a $1 change. How many children are there if there are 2 adults in the family?
|
They gave the cashier $20 x 2 = $<<20*2=40>>40.
Since a $1 change was returned, this means the tickets cost $40 - $1 = $<<40-1=39>>39.
Two adult tickets cost $9 x 2 = $<<9*2=18>>18.
So, $39 - $18 = $<<39-18=21>>21 was spent for the children's tickets.
Each child's ticket costs $9 - $2 = $<<9-2=7>>7.
Therefore, there are $21/$7 = <<21/7=3>>3 children.
#### 3
|
Haley is making cider. It takes 20 golden delicious apples and 40 pink lady apples to make one pint of cider. Each of her 6 farmhands can pick 240 apples per hour and will work 5 hours today. How many pints of cider can Haley make with the apples gathered today, provided that the ratio of golden delicious apples to pink lady apples gathered is 1:2?
|
First figure out how many apples total are needed for one pint of cider: 20 golden delicious/pint + 40 pink lady/pint = <<20+40=60>>60 apples/pint
Then multiply that number by 8 to find the number of apples needed for a gallon of cider: 60 apples/pint * 8 pints/gallon = <<60*8=480>>480 apples/gallon
Now find how many apples per hour all 8 farmhands pick: 240 apples/hour/farmhand * 6 farmhands = <<240*6=1440>>1440 apples/hour
Then multiply that amount by the number of hours worked to find the total number of apples gathered: 1440 apples/hour * 5 hours = <<1440*5=7200>>7200 apples
Divide the total number of apples gathered by the number of apples used by gallon to find the number of gallons of cider made: 7200 apples / 480 apples/gallon = <<7200/480=15>>15 gallons
Since there are 8 pints in a gallon, the final answer is 15 gallons * 8 pints / gallon = <<15*8=120>>120 pints
#### 120
|
Paul made two bank transfers of $90 and $60 respectively. A service charge of 2% was added to each transaction. If the second transaction was reversed (without the service charge), what is his account balance now if it was $400 before he made any of the transfers?
|
2% of $90 is (2/100)*$90 = $<<(2/100)*90=1.8>>1.8
2% of $60 is (2/100)*$60 = $<<(2/100)*60=1.2>>1.2
The second transaction was reversed without the service charge so only a total of $90+$1.8+$1.2 = $<<90+1.8+1.2=93>>93 was deducted from his account
He will have a balance of $400-$93 = $<<400-93=307>>307
#### 307
|
Cathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one week and Cathy took her shifts. If there are four weeks in a month, how many hours did Cathy work during the 2 months?
|
There are 4 weeks in a month so Cathy and Chris were supposed to work for 4 weeks/month x 2 months = <<4*2=8>>8 weeks each.
Since Chris got sick then Chris was only able to work for 8 weeks - 1 week = 7 weeks while Cathy worked for 8 weeks + 1 week = 9 weeks.
Therefore, Cathy worked for 9 weeks x 20 hours/week = <<9*20=180>>180 hours.
#### 180
|
Lisa makes breakfast for her family every morning, Monday through Friday. She makes 2 eggs for each of her 4 children and 3 eggs for her husband. Then, she makes 2 eggs for herself. How many eggs does Lisa cook for her family for breakfast in a year?
|
Lisa makes 2 eggs/child x 4 children = 8 eggs for her children.
She makes 3 eggs for her husband + 2 for herself + 8 for her children = <<3+2+8=13>>13 eggs.
Lisa makes breakfast 5 days a week for 52 weeks a year, so 5 * 52 = <<5*52=260>>260 breakfasts.
So Lisa makes 13 eggs/breakfast x 260 breakfasts = <<13*260=3380>>3,380 eggs.
#### 3,380
|
Hannah wants to get the highest grade in the class on the upcoming math test. Because she is out sick the day of the test, she learns ahead of time the top scores she has to beat. She finds out that one student got a 95% on the exam. Another student only got 3 wrong out of 40. How many questions does she have to get right to have the highest score in the class?
|
One student got 37 questions right because 40 - 3 = <<40-3=37>>37
This student's proportion right is .925 because 37 / 40 = <<37/40=.925>>.925
This student got a 92.5% because .925 x 100 = <<.925*100=92.5>>92.5
The student got got a 95% got 38 right because 40 x .95 = <<40*.95=38>>38
Hannah must beat the student who got a 38 because 38 > 37
Hannah needs to get 39 questions right because 38 + 1 = <<38+1=39>>39
#### 39
|
Miriam currently has 30 marbles, but she used to have more. Miriam gave her brother 60 marbles, gave her sister twice that amount and gave her friend Savanna three times the amount she currently has. How many marbles did Miriam start with?
|
If Mariam remains with 30 marbles after giving her brother 60 marbles, she had 30+60 = <<30+60=90>>90 marbles.
Mariam's sister receives twice as many marbles as her brother, a total of 2*60 = <<2*60=120>>120 marbles.
The total number of marbles before giving any to her brother or sister is 120+90= <<120+90=210>>210
Savannah is to receive three times as many marbles as Mariam has to remain with, a total of 3*30 = <<3*30=90>>90 marbles.
Before giving out any marble, Mariam has 210+90 = <<210+90=300>>300 marbles.
#### 300
|
Blake gave some of his money to his friend, Connie. Connie used all the money she had been given to buy some land. In one year, the land tripled in value. So, she sold the land and gave half of all the money she got from the sale of the land to Blake. If Connie gave Blake $30,000, how much money, in dollars, did Blake initially give to Connie?
|
If half the value of what Connie sold the land for was $30,000, then the full value was $30,000*2 = $<<30000*2=60000>>60,000.
If $60,000 is triple what Connie bought the land for, then the initial cost, which is the amount given to her by Blake, was $60,000/3 = $<<60000/3=20000>>20,000.
#### 20,000
|
Tina is a professional boxer. She wins her first 10 fights of her career. She then goes on to win 5 more before losing her first fight, and then doubles her number of wins before losing again. She then retires. How many more wins than losses does she have at the end of her career?
|
Tina wins her first 10, and then wins 5 more for 10+5 = 15 wins before losing 1.
She then doubles her number of wins for a total of 15*2=30 wins, before losing 1 more for 1+1=2 losses.
For her career she has 30-2=<<30-2=28>>28 more wins than losses.
#### 28
|
The sum of the three numbers is 500. If the first number is 200, and the value of the second number is twice the value of the third number, find the value of the third number.
|
Let's say the third number is x.
The sum of the second and third number is 500-200 = <<500-200=300>>300
Since the third number is x, the sum of the values of the second and third number is x+2x = 300
This is 3x=300
The value of the third number is x=300/3
x=<<100=100>>100
#### 100
|
John is working as an IT specialist. He repairs broken computers. One day he had to fix 20 computers. 20% of them were unfixable, and 40% of them needed to wait a few days for spare parts to come. The rest John was able to fix right away. How many computers John was able to fix right away?
|
From all the computers, 100% - 40% - 20% = 40% got fixed right away.
So John was able to fix 40/100 * 20 = <<40/100*20=8>>8 computers.
#### 8
|
Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?
|
Let her previous monthly income be p
The cost of her rent and utilities was 40% of p which is (40/100)*p = 2p/5
Her income was increased by $600 so it is now p+$600
The cost of her rent and utilities now amount to 25% of (p+$600) which is (25/100)*(p+$600) = (p+$600)/4
Equating both expressions for cost of rent and utilities: 2p/5 = (p+$600)/4
Multiplying both sides of the equation by 20 gives 8p = 5p+$3000
Subtracting 5p from both sides gives: 3p = $3000
Dividing both sides by 3 gives p = $1000
#### 1000
|
Eden, Mary and Iris gather sand to fill their sandbox. Eden carried 4 buckets of sand. Mary carried 3 more buckets of sand than Eden. Iris carried 1 less bucket of sand than Mary. If each bucket contains 2 pounds of sand, how many pounds of sand did they collect in total?
|
Mary carried 4 + 3 = <<4+3=7>>7 buckets of sand.
Iris carried 7 – 1 = <<7-1=6>>6 buckets of sand.
All together, they carried 4 + 7 + 6 = <<4+7+6=17>>17 buckets of sand.
The sand weighed a total of 17 * 2 = <<17*2=34>>34 pounds.
#### 34
|
Marnie opens a bag of chips and eats 5 of them to see if she likes them. She does, so she eats 5 more. The bag has 100 chips in it and starting on the second day she has them, Marnie eats 10 each day. How many days does it take for Marnie to eat the whole bag of chips?
|
Marnie has already eaten 5 of the chips + 5 more = <<5+5=10>>10 chips Marnie ate.
The bag has 100 chips in it and Marnie has only eaten 10, 100 - 10 = <<100-10=90>>90 chips left.
If Marnie eats 10 chips a day starting from the second day she has them, it will take her 90 chips in the bag / 10 chips Marine eats a day = <<90/10=9>>9 days to eat the whole bag.
However, Marnie also ate chips on the first day she bought them, so 9 + 1 = <<9+1=10>>10 days to eat the whole bag.
#### 10
|
John is a hack author. He writes a book every 2 months. He has been writing for 20 years and has earned an average of $30,000 per book. How much money has he made writing?
|
He writes 12/2=<<12/2=6>>6 books a year
That means he has written 6*20=<<6*20=120>>120 books
So he has made 120*30,000=$<<120*30000=3600000>>3,600,000 from writing
#### 3600000
|
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?
|
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
|
Michael’s largest watermelon weighs 8 pounds. His neighbor, Clay, grew a watermelon three times that size. And their mutual friend, John, grew a watermelon that was half the size of Clay’s. How big was John’s watermelon?
|
Michael’s watermelon weighs 8 pounds and Clay’s weighs 3 times that so it weighs 8*3 = <<8*3=24>>24 pounds
John’s watermelon is half the size of Clay’s 24-pound watermelon so it weighs 24/2 = <<24/2=12>>12 pounds
#### 12
|
Betty has a tray of cookies and a tray of brownies. She has a real sweet tooth and eats 3 cookies a day and 1 brownie a day. If she starts with 60 cookies and 10 brownies, how many more cookies than brownies does she have after a week of eating like this?
|
First we find how many cookies Betty will eat in a week by multiplying her daily amount by 7, meaning 7*3=<<21=21>>21 cookies eaten in a week.
We repeat this for the brownies, finding she eats 7*1=<<7*1=7>>7 brownies in a week.
We subtract the 21 cookies from the original amount of 60, finding 60-21= <<60-21=39>>39 cookies remaining.
We repeat this step for the brownies, finding 10-7= <<10-7=3>>3 brownies remaining.
In the end, therefore, Betty has 39-3= <<39-3=36>>36 more cookies than brownies.
#### 36
|
Purple Valley has one-quarter as many skirts as Seafoam Valley, and Seafoam Valley has two-thirds as many skirts as Azure Valley. If Azure Valley has 60 skirts, how many skirts does Purple Valley have?
|
Seafoam Valley has 2/3 as many skirts as Azure Valley, or (2 * 60) / 3 = 120/3 = <<2*60/3=40>>40 skirts.
Purple Valley has 1/4 as many skirts as Seafoam Valley, or 40/4 = <<40/4=10>>10 skirts.
#### 10
|
A retail store wants to hire 50 new phone reps to assist with the increased call volume that they will experience over the holiday. Each phone rep will work 8 hours a day and will be paid $14.00 an hour. After 5 days, how much will the company pay all 50 new employees?
|
There are 50 reps and they will work 8 hour days so that's 50*8 = <<50*8=400>>400 hours
They will work 5 days a week so that's 5*400 = <<5*400=2000>>2,000 hours
Each worker will be paid $14.00 an hour and in 5 days they will have worked 2,000 hours so that's 14*2000 = $<<14*2000=28000>>28,000
#### 28000
|
Sarah is planning to do some baking. She buys 5 pounds of rye flour, 10 pounds of whole-wheat bread flour, and 3 pounds of chickpea flour. Sarah already had 2 pounds of whole-wheat pastry flour at home. How many pounds of flour does she now have?
|
She bought 5+10+3=<<5+10+3=18>>18 pounds
She now has 18+2=<<18+2=20>>20 pounds
#### 20
|
A concert ticket costs $40. Mr. Benson bought 12 tickets and received a 5% discount for every ticket bought that exceeds 10. How much did Mr. Benson pay in all?
|
Mr. Benson had a 5% discount for each of the 12 - 10 = <<12-10=2>>2 tickets.
So, those two tickets had a $40 x 5/100 = $<<40*5/100=2>>2 discount each.
Hence, each ticket cost $40 - $2 = $<<40-2=38>>38 each.
Thus, two discounted tickets amount to $38 x 2 = $<<38*2=76>>76.
And the other ten tickets amount to $40 x 10 = $<<40*10=400>>400.
Hence, Mr. Benson paid a total of $400 + $76 = $<<400+76=476>>476.
#### 476
|
Cupcakes are sold in packages of 10 and 15. Jean bought 4 packs of 15 cupcakes. If she will give one cupcake each to 100 children in the orphanage, how many packs of 10 cupcakes should she need to buy?
|
Jean already bought 15 cupcakes x 4 packs = <<15*4=60>>60 cupcakes.
She needs 100 - 60 = <<100-60=40>>40 more cupcakes.
Thus, she needs to buy 40/10 = <<40/10=4>>4 packs of 10 cupcakes.
#### 4
|
Troy bakes 2 pans of brownies, cut into 16 pieces per pan. The guests eat all of 1 pan, and 75% of the 2nd pan. One tub of ice cream provides 8 scoops. If all but 4 of the guests eat the brownies ala mode (with 2 scoops of vanilla ice cream), how many tubs of ice cream did the guests eat?
|
Troy bakes 2 x 16 = <<2*16=32>>32 brownie pieces.
75% of one pan is 16 x 0.75 = <<16*0.75=12>>12 pieces.
Guests eat 16 + 12 = <<16+12=28>>28 pieces.
This many guests eat the brownies ala mode 28 - 4 = <<28-4=24>>24.
This many scoops are eaten by the guests 24 x 2 = <<24*2=48>>48.
The guests eat this many tubs 48 / 8 = <<48/8=6>>6 tubs.
#### 6
|
Xavier plays football with his friends. During 15 minutes Xavier can score 2 goals on average. How many goals on average is Xavier able to score, when the match lasted for 2 hours?
|
Two hours means 2 * 60 = <<2*60=120>>120 minutes.
So in 2 hours, there are with 120 / 15 = <<120/15=8>>8 groups of 15 minutes.
So on average Xavier can score 8 * 2 = <<8*2=16>>16 goals.
#### 16
|
When Doctor Lindsay works in her office, she usually sees 4 adult patients and 3 child patients every hour. If the cost for an adult's office visit is $50, and the cost for a child's office visit is $25, how much money, in dollars, does Doctor Lyndsay receive in a typical 8-hour day for seeing all her patients?
|
For 4 adult patients per hour, Dr. Lindsay receives 4*50=<<4*50=200>>200 dollars per hour.
For the 3 child patients per hour, Dr. Lindsay receives 3*25=<<3*25=75>>75 dollars per hour.
Thus, Dr. Lindsay receives 200+75=<<200+75=275>>275 dollars per hour.
In an 8-hour day, Dr. Lindsay receives 8*275=<<8*275=2200>>2200 dollars.
#### 2200
|
There are three buckets of seeds labeled A, B, and C with 100 seeds. There are ten more seeds in bucket A than in bucket B, and bucket B has 30 seeds. How many seeds are in bucket C?
|
Bucket A has 10 more seeds than bucket B: so there are 10 seeds + 30 seeds = <<10+30=40>>40 seeds in bucket A.
Bucket A and bucket B have 40 seeds + 30 seeds = <<40+30=70>>70 seeds together.
If there are 100 seeds in all the buckets, then bucket C has 100 seeds - 70 seeds = <<100-70=30>>30 seeds.
#### 30
|
One-half of a pound of mangoes costs $0.60. How many pounds can Kelly buy with $12?
|
One pound of mangoes cost $0.60 x 2 = $<<0.60*2=1.20>>1.20.
So Kelly can buy $12/$1.20 = <<12/1.20=10>>10 pounds of mangoes.
#### 10
|
Before Cameron broke his right arm, he was able to type 10 words per minute on his phone. After he broke his arm, he had to use his left hand for a while, and he could only type 8 words per minute. What is the difference between the number of words he could type in 5 minutes before and after he broke his arm?
|
Before Cameron broke his hand he could type 5 × 10 = <<5*10=50>>50 words in 5 minutes.
After he broke his hand he could only type 5 × 8 = <<5*8=40>>40 words in 5 minutes.
The difference between the number of words he could type in 5 minutes before and after he broke his arm is 50 - 40 = <<50-40=10>>10 words.
#### 10
|
The cash price of a refrigerator was $8000. Samantha wanted to buy the refrigerator but pay in installments. If she paid a deposit of $3000 and paid 30 equal monthly installments of $300 each, calculate how much money she would have saved by paying cash.
|
When Samantha paid $300 in 30 equal monthly installments, she paid a total of $<<300*30=9000>>9000
Since the higher purchase is a deposit plus the total monthly installments, Samatha paid $3000+$9000=$<<3000+9000=12000>>12000 for the refrigerator on higher purchase.
If she would have bought the refrigerator on the cash prize, Samantha would have paid $12000- to $8000= $<<12000-8000=4000>>4000 less.
#### 4000
|
Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?
|
In the first year, Bobby will acquire 16 * .5 = <<16*.5=8>>8 new cars.
After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars.
In the second year, Bobby will acquire 24 * .5 = <<24*.5=12>>12 new cars.
After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total.
In the third year, Bobby will acquire 36 * .5 = <<36*.5=18>>18 new cars.
After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total.
#### 54
|
A group of science students went on a field trip. They took 9 vans and 10 buses. There were 8 people in each van and 27 people on each bus. How many people went on the field trip?
|
The vans held 9 vans * 8 people = <<9*8=72>>72 people.
The buses held 10 buses * 27 people = <<10*27=270>>270 people.
The total number of people on the field trip is 72 + 270 = <<72+270=342>>342 people.
#### 342
|
Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
|
Let x be the number of minutes it takes Yolanda's husband to catch her.
We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband.
The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x
Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x
We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x
Then we can subtract 20x from each side to get 300 = 20x
Finally, we divide both sides by 20 to find that x = 15.
#### 15
|
Jacob is making s'mores. Each s'more takes two graham crackers and one marshmallow. If Jacob has 48 graham crackers and 6 marshmallows, how many more marshmallows does he need to buy?
|
First find the number of marshmallows Jacob needs: 48 graham crackers / 2 graham crackers/marshmallow = <<48/2=24>>24 marshmallows
Then subtract the number of marshmallows Jacob already has from the number he needs to find the number he needs to buy: 24 marshmallows - 6 marshmallows = <<24-6=18>>18 marshmallows
#### 18
|
Erin works in the school cafeteria serving soup. Each bowl of soup has 10 ounces, and Erin can serve 5 bowls per minute. If the pot of soup has 6 gallons of soup, how long will it take Erin to serve all the soup, rounded to the nearest minute? (There are 128 ounces to a gallon.)
|
First find the number of ounces Erin serves per minute: 10 ounces/bowl * 5 bowls/minute = <<10*5=50>>50 ounces/minute
Then find the number of ounces in the pot: 6 gallons * 128 ounces/gallon = <<6*128=768>>768 ounces
Then divide the total amount of soup by the amount of soup Erin serves per minute: 768 minutes / 50 ounces/minute = <<768/50=15.36>>15.36 minutes, which rounds down to 15 minutes
#### 15
|
The flowers cost $9, the clay pot costs $20 more than the flower, and the bag of soil costs $2 less than the flower. How much does it cost to plant the flowers?
|
The clay pot costs $20 + $9 = $<<20+9=29>>29.
The bag of soil costs $9 - $2 = $<<9-2=7>>7.
The cost to plant the flowers is $9 + $29 + $7 = $<<9+29+7=45>>45.
#### 45
|
Bill has 6 times as many nuts as Harry, and Harry has twice as many nuts as Sue. If Sue has 48 nuts, how many do Bill and Harry have combined?
|
If Sue has 48 nuts, and Harry has twice as many nuts as Sue, Harry has 2*48 = 96 nuts
Bill has 6 times as many nuts as Harry, and since Harry has 96 nuts, Bill has 96*6 = <<6*96=576>>576 nuts
Combined, Bill and Harry have 576+96 = <<576+96=672>>672 nuts
#### 672
|
Janice gets paid $10 an hour for the first 40 hours she works each week, and $15 each hour of overtime after that. If Janice works 60 hours one week, how much money does she make?
|
Janice makes during her first 40 hours of work $10/hour * 40 hours = $<<10*40=400>>400.
Janice works 60 hours - 40 hours = <<60-40=20>>20 hours during her overtime.
Janice makes from working overtime $15 * 20 = $<<15*20=300>>300.
The total she makes a week is $400 + $300 = $<<400+300=700>>700.
#### 700
|
For his birthday, Geoffrey received clothes and money. His grandmother gave him €20, his aunt €25 and his uncle €30. With what he already had, he now has €125 in his wallet. He goes to a video game store and gets 3 games that cost 35 euros each. How much does he have left after this purchase?
|
Let’s calculate the total price of video games: 35€ X 3€/game = <<35*3=105>>105€
Now let’s find out how much money Geoffrey has left by subtracting his spending from his starting amount of cash: 125€ - 105€ = <<125-105=20>>20€
#### 20
|
Sonia and Joss are moving to their new house at the lake. They have too much stuff in their previous house and decide to make multiple trips to move it all to the new house. They spend 15 minutes filling the car with their stuff and spend 30 minutes driving from the previous house to the new house. Fortunately, they did not waste any time unloading their stuff into the new house. In total they make 6 trips to complete the move. How many hours did they spend moving?
|
They spend 15 minutes/trip + 30 minutes/trip = <<15+30=45>>45 minutes/trip filling the car and driving to the new house.
They had to take 6 trips, so they spend 45 minutes/trip x 6/trip = <<45*6=270>>270 minutes.
They also had to drive back to their previous house 5 times to complete the move: 30 minutes/trip x 5 trips = <<30*5=150>>150 minutes.
In total, they spent 270 minutes + 150 minutes = <<270+150=420>>420 minutes.
Each hour has 60 minutes so they spent 420 minutes ÷ 60 minutes/hour = <<420/60=7>>7 hours in total.
#### 7
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A laboratory has 22 beakers of liquid in a fume hood, and 8 of the beakers have copper ions in them. Adding three drops of a solution will turn the liquid in a beaker blue if there are copper ions present. If the beakers are tested one by one for copper ions and 45 drops are used before all 8 beakers with copper ions are found, how many beakers without copper ions were tested?
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There were 45 / 3 = <<45/3=15>>15 beakers tested to find all the beakers with copper ions.
Thus, 15 - 8 = <<15-8=7>>7 beakers without copper ions were tested.
#### 7
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A town is holding a fireworks display for New Year’s Eve. They light enough fireworks to show the full year then light enough fireworks to write “HAPPY NEW YEAR” in the sky. They then light another 50 boxes of fireworks as part of the display. Each box of fireworks contains 8 fireworks. If it takes 6 fireworks to display a number and 5 fireworks to display a letter, how many fireworks are lit during the display?
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Writing out the full year uses 4 numbers so this takes 4 numbers * 6 fireworks per number = <<4*6=24>>24 fireworks.
“HAPPY NEW YEAR” contains 12 letters so this takes 12 letters * 5 fireworks per letter = <<12*5=60>>60 fireworks.
There is therefore a total of 24 + 60 = <<24+60=84>>84 fireworks lit at the start of the display.
From the boxes, they lit another 50 boxes * 8 fireworks per box = <<50*8=400>>400 fireworks.
So in total, the whole display uses 84 + 400 = <<84+400=484>>484 fireworks.
#### 484
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