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Donna bought 3 times as many pencils as Marcia did. Marcia bought double the number of pencils as Cindi did. How many pencils did Donna and Marcia buy altogether if Cindi spent $30 on $0.50 pencils? | Cindi bought 30/0.50 = <<30/0.50=60>>60 pencils.
Marcia bought 2*60 = <<2*60=120>>120 pencils.
Donna bought 3*120 = <<3*120=360>>360 pencils.
Altogether, Donna and Marcia bought 120+360 = <<120+360=480>>480 pencils.
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] | [
"ratios",
"proportional_relationships",
"multiplication"
] | [
"shopping"
] | 4 |
Mitchell has 30 pencils. He has 6 more pencils than Antonio. How many pencils does Mitchell and Antonio have together? | Antonio has 30-6 = <<30-6=24>>24 pencils
Antonio and Mitchell have 24+30 = <<24+30=54>>54 pencils together.
#### 54 | [
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] | [
"algebraic_equations",
"subtraction"
] | [
"school_supplies"
] | 2 |
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? | 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.
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] | [
"algebraic_equations",
"averages"
] | [
"astronomy"
] | 4 |
Nine adults went to a play with seven children. Adult tickets are $11 each and children's tickets are $7 each. How many dollars more did the adults' tickets cost in total than the children's tickets in total? | Adults = 9 * 11 = <<9*11=99>>99
Children = 7 * 7 = <<7*7=49>>49
Difference: 99 - 49 = $<<99-49=50>>50
The adults' tickets cost $50 more than the children's tickets.
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] | [
"multiplication",
"subtraction",
"comparison"
] | [
"entertainment",
"cost"
] | 2 |
Isabel was helping her mom pick apples from their tree in the front yard. Together they picked 34 apples. They want to make apple pies. Each apple pie needs 4 apples, but the apples have to be ripe. 6 of the apples they picked are not ripe. How many pies can they make? | Isabel has 34 apples - 6 that are not ripe = <<34-6=28>>28 ripe apples.
To make pies they will need 28 apples / 4 apples per pie = <<28/4=7>>7 pies.
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] | [
"subtraction",
"division"
] | [
"baking",
"agriculture"
] | 2 |
Laura took six trips to park. On each trip, she spent 2 hours at the park and an additinal 30 minutes walking to and from the park. What percentage of the total time she took for her trips to the park did Laura spend in the park? | During 6 days, Laura would spend 2 * 6 = <<2*6=12>>12 hours in the park.
If it takes 30 minutes (or 0.5 of an hour) walking to and from the park, then for the six trips, it would take her an additional 0.5 * 6 = <<0.5*6=3>>3 hours to walk to and from the park.
In total, she would spend a total of 12 + 3 = <<12+3=15>>15 hours on her six trips.
So, the fraction of time spent in the park would be 12 / 15 = <<12/15=0.8>>0.8.
Thus, converting fraction to percentage, Laura spent 0.8 * 100% = 80% of her trip time at the park.
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] | [
"percentages",
"ratios",
"time_conversions"
] | [
"leisure_activities"
] | 2 |
The price of two kilograms of sugar and five kilograms of salt is $5.50. If a kilogram of sugar costs $1.50, then how much is the price of three kilograms of sugar and a kilogram of salt? | Two kilograms of sugar is priced at $1.50 x 2 = $<<2*1.5=3>>3.
Three kilograms of sugar is priced at $1.50 x 3 = $<<3*1.5=4.50>>4.50.
So five kilograms of salt is priced at $5.50 - $3 = $2.50.
Thus, a kilogram of salt is priced at $2.50/5 = $<<2.5/5=0.50>>0.50.
Hence, three kilograms of sugar and a kilogram of salt.s price is $4.50 + $0.50 = $5.
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] | [
"algebraic_equations",
"substitution",
"unit_rates"
] | [
"shopping",
"commerce"
] | 4 |
Justin wanted to watch a movie that came on at 8 pm that night. His parents agreed as long as he finished his homework and chores before the movie started. He wouldn't be home until 5 pm because of baseball practice. He knew dinner would take 45 minutes, and he figured his homework would take 30 minutes to finish. He needed to clean his room, which would take 30 minutes; then take out the trash, which would take about 5 minutes; and empty the dishwasher, which would take another 10 minutes. What was the latest time that Justin could start his chores and homework to be done by 8 pm to watch his movie? | Justin would spend 45 minutes at dinner, 30 minutes doing homework, 30 minutes cleaning his room, 5 minutes on the trash and 10 on dishes for a total of 45+30+30+5+10 = <<45+30+30+5+10=120>>120
Justin knows that 60min is the same as 1 hour. He has 120 minutes of work so 120/60 = <<120/60=2>>2 hours
His movie comes on at 8 pm and he has 2 hours of chores so 8-2 = <<8-2=6>>6 pm is the latest time he could start his chores
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] | [
"subtraction",
"time_management"
] | [
"everyday_life",
"time_management"
] | 2 |
The distance between Arizona and New York is around 2,000 miles by plane. The distance between the 2 different US states increases by 40% if someone decides to drive instead of flying. Missouri is midway between Arizona and New York. How far away is Missouri from New York if someone decides to go by car? | The distance between Arizona and New York is 2,000 miles by plane.
The distance between Arizona and New York is 40% greater by car, which is 40% * 2,000 = <<40*.01*2000=800>>800 miles.
This results in a total of 2,000 + 800 = <<2000+800=2800>>2,800 miles between Arizona and New York by car.
If Missouri is in the middle of the way between Arizona and New York, someone would drive half of the distance to go from Missouri to New York, which is 2,800 / 2 = <<2800/2=1400>>1,400.
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] | [
"percentages",
"ratios",
"distance_and_midpoint"
] | [
"travel",
"geography"
] | 4 |
Mirasol had $50 in her account. She spent $10 on coffee beans and $30 on a tumbler. How much is left in her account? | Mirasol spent a total of $30 + $10 = $<<30+10=40>>40.
Thus, Mirasol has $50 - $40 = $<<50-40=10>>10 left in her account.
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] | [
"subtraction",
"basic_arithmetic_operations"
] | [
"personal_finance",
"shopping"
] | 1 |
Marcia needs to add 3 skirts, 2 pairs of pants and 5 blouses to her work wardrobe. A department store is offering a sale on pants; buy 1 pair get 1 pair 1/2 off. If her skirts are $20.00 each, the blouses are $15.00 and both pairs of pants are $30.00 each. How much will she spend on her wardrobe? | The pants are $30.00 and are buy one get one 1/2 off so the second pair will be 30*.5 = $<<30*.5=15.00>>15.00
The first pair of pants is $30.00 and the second pair is $15.00 so the pants cost 30+15 = $<<30+15=45.00>>45.00
The skirts are $20.00 each and she’s buying 3 so that’s 20*3 = $<<20*3=60.00>>60.00
The blouses are $15.00 each and she’s buying 5 so that’s 15*5 = $<<15*5=75.00>>75.00
All total, her wardrobe will cost $45 for the pants, $60 for the skirts and $75 for the blouses so 45+60+75 = $<<45+60+75=180.00>>180.00
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] | [
"fractions",
"discounts",
"multi-digit_multiplication",
"addition"
] | [
"shopping",
"fashion"
] | 4 |
William washes cars as a side job. He typically spends 4 minutes washing a car’s windows, 7 minutes washing the car body, 4 minutes cleaning the tires, and 9 minutes waxing the car. This morning he washed 2 normal cars and one big SUV, which took twice as long as a normal car. How many minutes did William spend washing all the vehicles? | William spends 4 + 7 + 4 + 9 = <<4+7+4+9=24>>24 minutes washing a normal car.
He washed 2 normal cars, so he spent 24 * 2 = <<24*2=48>>48 minutes on the normal cars.
He took twice as long as one car for the SUV, so he took 24 * 2 = <<24*2=48>>48 minutes on the SUV.
Thus, William spent 48 + 48 = <<48+48=96>>96 minutes washing all the vehicles.
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] | [
"multiplication",
"addition",
"scaling"
] | [
"work",
"service industry"
] | 2 |
Gretchen read that you should spend 10 minutes walking for every 90 minutes you spend sitting. If Gretchen spends 6 hours working at her desk, how long will she spend walking? | First find the total number of minutes Gretchen spends sitting at her desk: 6 hours * 60 minutes/hour = <<6*60=360>>360 minutes
Then divide this amount by 90 minutes to find how many walking breaks Gretchen takes: 360 minutes / 90 minutes/break = <<360/90=4>>4 breaks
Then multiply the number of breaks by the length of each break to find how long Gretchen spends walking: 4 breaks * 10 minutes/break = <<4*10=40>>40 minutes
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] | [
"ratios",
"unit_conversion"
] | [
"health_and_wellness"
] | 2 |
A portable battery charger can fully charge a smartphone in 26 minutes or a tablet in 53 minutes. Ana charged her tablet fully and her phone halfway. How many minutes did it take? | Ana charged her phone halfway, so she took 26 / 2 = <<26/2=13>>13 minutes to charge her phone.
Thus, it took Ana 13 + 53 = <<13+53=66>>66 minutes to charge her phone and tablet.
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] | [
"ratios",
"proportional_reasoning",
"addition"
] | [
"technology",
"electronics"
] | 4 |
If Pete read twice as many books as Matt did last year, and this year he doubles that number while Matt reads only 50% more, how many books does Pete read across both years if Matt read 75 books in his second year? | First, we need to find the amount Matt read both years to establish what Pete read, so to find Matt's first-year total we multiply 75 / 1.5 = <<75/1.5=50>>50 books the previous year.
Since Pete read twice as many books as Matt did in the first year, and Matt's first-year total is 50, this means Pete read 50*2=<<50*2=100>>100 books his first year.
Since Pete doubled the number of books he read the following year, this means Pete read 100*2=<<100*2=200>>200 books the following year.
We add the two years of Pete's reading together to find 200+100=<<200+100=300>>300 books read in total.
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] | [
"ratios",
"percentages",
"algebraic_equations"
] | [
"reading",
"literacy"
] | 4 |
Haman’s father has an egg business supplying the local market. On a Wednesday morning, his father sends him to go and collect 10 trays of eggs for sale from their store. While loading the eggs into the car, he accidentally drops two trays. He calls his father telling him this, and is told to add 7 more trays for sale. How many eggs were sold that day? | When Haman collected 10 trays and dropped 2 trays, he was left with 10 trays - 2 trays = <<10-2=8>>8 trays.
When he added 7 more trays, the total number of trays became 8 trays + 7 trays = <<8+7=15>>15 trays.
Since each tray contains 36 eggs, the total number of eggs to be sold is 36 eggs/tray * 15 trays = 540 eggs.
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] | [
"addition",
"subtraction"
] | [
"commerce",
"retail"
] | 2 |
Mrs. Brown paid her utility bills with 3 $50 bills and 2 $10 bills. How much are her utility bills? | Mrs. Brown's $50 bills amount to $50 x 3 = $<<50*3=150>>150.
Her $10 bills amount to $10 x 2 = $<<10*2=20>>20.
So Mrs. Brown's utility bills cost $150 + $20 = $<<150+20=170>>170.
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] | [
"addition",
"place_value"
] | [
"personal_finance",
"household_expenses"
] | 1 |
Kyle can lift 60 more pounds this year, which is 3 times as much as he could lift last year. How many pounds can Kyle lift in all? | Since Kyle can lift 60 more pounds and that is 3 times what he could do before, that means that last year Kyle could lift 60 pounds / 3 = <<60/3=20>>20 pounds.
Kyle can now lift 60 pounds + 20 pounds he could lift last year = <<60+20=80>>80 pounds.
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] | [
"algebraic_equations",
"multiplication",
"addition"
] | [
"fitness",
"weightlifting"
] | 2 |
Daisy's Flower Shop sold 45 daisies on its first day. On their second day, they sold 20 more flowers than they did on their first day. On the third day, they sold 10 less than twice the flowers that were sold than on the second day. If the flower shop sold a total of 350 daisies for 4 days, how many daisies were sold on the 4th day? | The flower shop sold 45 + 20 = <<45+20=65>>65 daisies on the second day.
Twice the number of flowers on the second day is 65 x 2 = <<65*2=130>>130.
So, the flower shop sold 130 - 10 = <<130-10=120>>120 daisies on the third day.
The total daisies sold for 3 days was 45 + 65 + 120 = <<45+65+120=230>>230.
Therefore, 350 - 230 = <<350-230=120>>120 daisies were sold on the 4th day.
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] | [
"algebraic_equations",
"multi_step_problems",
"linear_equations"
] | [
"retail",
"business"
] | 4 |
Jill has a difficult test to study for. She decides to study one day for 2 hours. The next day she doubles this amount, and the day after that she studies one hour less than the previous day. How many minutes does Jill study over the 3 days? | First, we need to determine how many hours Jill studied in total. To find this out, we begin by performing 2*2= <<2*2=4>>4 hours spent on day two, double what she spent on day 1.
Next, we perform 4-1= <<4-1=3>>3 hours to determine the amount she studied on the third day.
We then add 2+4+3= <<2+4+3=9>>9 hours spent in total across 3 days.
Since there are 60 minutes in an hour, she studied 9*60=<<9*60=540>>540 minutes in total.
#### 540 | [
1.0937089920043945,
0.6505235433578491,
-3.246403932571411,
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] | [
"multiplication",
"addition",
"unit_conversion"
] | [
"education"
] | 2 |
Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary? | First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $<<40000+2000=42000>>42,000
Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $<<42000+3000=45000>>45,000
Next, figure out what percent of his salary Bill keeps after income tax: 100% - 10% = 90%
Now we know that .9g = $45,000, where g is Bill's gross salary
Now we can divide both sides of the equation by .9 to find that g = $50,000
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] | [
"percentages",
"algebraic_equations"
] | [
"personal_finance",
"taxation"
] | 4 |
Angus, Patrick, and Ollie went fishing for trout on Rainbow Lake. Angus caught 4 more fish than Patrick did, but Ollie caught 7 fewer fish than Angus. If Ollie caught 5 fish, how many fish did Patrick catch? | If Ollie caught 7 less than Angus, then Angus caught 5+7=12 fish.
And since Angus caught four more than Patrick, then Patrick caught 12-4=<<12-4=8>>8 fish.
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] | [
"algebraic_equations",
"subtraction",
"addition"
] | [
"fishing",
"outdoor_activities"
] | 2 |
A couple opened a savings account. The husband gives $335 every week while the wife gives $225 every week. After 6 months of saving (assume 4 weeks in each month), they decided to divide half of the couple's savings into their four children's savings accounts. How much does each child receive? | The husband saves $335 x 4 = $<<335*4=1340>>1340 a month.
The wife saves $225 x4 = $<<225*4=900>>900 a month.
Together, they save $1340 + $900 = $<<1340+900=2240>>2240 in a month.
In 6 months, their total savings is $2240 x 6 = $<<2240*6=13440>>13440.
Half of the couple's savings is 13440 / 2 = $<<13440/2=6720>>6720.
Therefore, each child will receive 6720 / 4 = $<<6720/4=1680>>1680.
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] | [
"multiplication",
"division",
"fractions"
] | [
"personal_finance",
"family"
] | 2 |
Ali and Sara ate 80 small apples combined. Ali ate 4 times more apples than Sara. How many apples did Sara eat? | Let A be the number of apples Ali ate and S be the number of apples Sara ate.
We have: A + S = 80 apples
And: A = <<4=4>>4S
Which means: 4S + S = 80
So: 5S = 80
So the number of apples Sara ate is: S = 80 / 5= <<80/5=16>>16 apples
#### 16 | [
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] | [
"ratios",
"algebraic_equations"
] | [
"everyday_life"
] | 2 |
A professional company is hiring for a new position. They have two qualified applicants. The first applicant will accept a salary of $42000 and make the company $93000 in the first year, but needs 3 months of additional training that costs $1200 a month. The second applicant does not need training and will make the company $92000 in the first year, but is requesting a salary of $45000 and a hiring bonus of 1% of his salary. Less the amount it will cost to pay for each candidate, how many more dollars will one candidate make the company than the other in the first year? | The first candidate’s training will cost 1200 * 3 = $<<1200*3=3600>>3600.
That candidate will make the company 93000 - 42000 - 3600 = $<<93000-42000-3600=47400>>47400 in the first year.
The second candidate’s bonus will cost 45000 * 1 / 100 = $<<45000*1/100=450>>450.
That candidate will make the company 92000 - 45000 - 450 = $<<92000-45000-450=46550>>46550 in the first year.
Thus, the first candidate will make the company 47400 - 46550 = $<<47400-46550=850>>850 more in the first year.
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] | [
"algebraic_equations",
"percentages",
"subtraction"
] | [
"business",
"human_resources"
] | 4 |
One-fourth of the airing time of a television program is spent on commercials. If there are 6 thirty-minute programs, how many minutes are spent on commercials for the whole duration of the 6 programs? | The total time of the programs is 6 programs * 30 minutes/program = <<6*30=180>>180 minutes
A quarter of this time is spent on commercials, so that's 180 minutes / 4 = <<180/4=45>>45 minutes
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] | [
"fractions",
"multiplication",
"division"
] | [
"media",
"entertainment"
] | 2 |
John watches a TV show and they announce they are going to do 1 more season. Each season is 22 episodes except for the last season which is 4 episodes longer. There were 9 seasons before the announcement. If each episode is .5 hours how long will it take to watch them all after the last season finishes? | There are currently 9*22=<<9*22=198>>198 episodes out
The new season will have 22+4=<<22+4=26>>26 episodes
So the total number of episodes is 198+26=<<198+26=224>>224 episodes
So it will take 224*.5=<<224*.5=112>>112 hours to watch them all
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] | [
"multiplication",
"addition",
"unit_conversion"
] | [
"entertainment",
"television"
] | 2 |
Socorro is preparing for a math contest. She needs to train for a total of 5 hours. Each day, she answers problems about multiplication for 10 minutes and then division problems for 20 minutes. How many days will it take for her to complete her training? | Socorro trains for a total of 10 + 20 = <<10+20=30>>30 minutes each day.
She needs to train for a total of 5 x 60 = <<5*60=300>>300 minutes since an hour has 60 minutes.
Therefore, she will complete her training in 300/30 = <<300/30=10>>10 days.
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] | [
"ratios",
"unit_conversion",
"division"
] | [
"education",
"competition"
] | 2 |
On a construction site, the Laker cement factory provided 500 bags of cement sold to Mr. Zander at $10 per bag. Mr. Zander also received twenty lorries of construction sand, each carrying 10 tons of sand, sold at $40 per ton. How much money did Mr. Zander pay for these construction materials? | The total cost for the sand is 500*10 = $<<500*10=5000>>5000
Since each lorry was carrying 10 tons of sand, the twenty lorries carried 20*10 = <<20*10=200>>200 tons.
At $40 per ton, Mr. Zander paid 200*$40 = $<<200*40=8000>>8000 for the sand that was delivered to his construction site.
Altogether, Mr. Zander paid $8000+$5000 = $<<8000+5000=13000>>13000 for the delivered construction materials.
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] | [
"multiplication",
"addition",
"unit_conversion"
] | [
"construction"
] | 2 |
A papaya tree will grow 2 feet in the first year. In the second year, it will grow 50% more than the first year. In the third year, the tree will grow 50% more than in the second year. In the fourth year, it will grow twice as much as the third year. In the fifth year, it will grow half as much as the fourth year. When the tree is 5 years old, how tall is the tree? | In the second year, the tree will grow 2 x 1.5 = <<2*1.5=3>>3 feet.
In the third year, it will grow 3 x 1.5 = <<3*1.5=4.5>>4.5 feet.
In the fourth year, it will grow 4.5 x 2 = <<4.5*2=9>>9 feet.
In the fifth year, it will grow 9 / 2 = <<9/2=4.5>>4.5 feet.
When the tree is 5 years old, including the first year's growth, it will be this tall 2 + 3 + 4.5 + 9 + 4.5 = <<2+3+4.5+9+4.5=23>>23 feet.
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] | [
"percentages",
"multiplication",
"addition"
] | [
"agriculture",
"botany"
] | 4 |
Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches? | First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>5 cups
Then multiply the number of pulled pork sandwiches by the amount of sauce per sandwich to find the total amount used: 1/6 cup/sandwich * 18 sandwiches = <<1/6*18=3>>3 cups
Then subtract this amount from the total amount of sauce Jack has to find how much he uses on the burgers: 5 cups - 3 cups = <<5-3=2>>2 cups
Then divide this amount by the amount of sauce used per burger to find the number of burgers he can make: 2 cups / 1/4 cup/burger = 8 burgers
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] | [
"fractions",
"ratios",
"unit_conversion"
] | [
"cooking"
] | 4 |
Tony exercises every morning by walking 3 miles carrying a 25-pound backpack, then he runs another 10 miles without the backpack. If he walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour, how many hours each week does he spend exercising? | Tony walks 3 miles at 3 miles per hour for 3/3=1 hour.
Tony also runs 10 miles at 5 miles per hour for 10/5=<<10/5=2>>2 hours.
Thus, each day he exercises for 1+2=<<3=3>>3 hours.
Over the course of one week, he exercises for 3*7=<<3*7=21>>21 hours.
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] | [
"ratios",
"unit_conversion",
"multiplication"
] | [
"fitness",
"exercise"
] | 2 |
Ronnie is a train engineer. His train pulls 3 red boxcars, 4 blue boxcars, and 7 black boxcars. If the black boxcars can each hold 4000 pounds of coal, which is half as much as what the blue boxcars can hold, and the red boxcars can hold 3 times as much as the blue boxcars, how many pounds of coal can all of the train's boxcars combined hold? | If we let X represent the number of pounds of coal that the blue boxcar can hold, then 4000=(1/2)X.
Solving for X, we get X=<<8000=8000>>8000 pounds of coal, which represents what the blue car can hold.
Thus, the red boxcar can hold 3*8000=<<3*8000=24000>>24,000 pounds of coal.
3 red boxcars can carry 3*24,000=<<3*24000=72000>>72,000 pounds of coal.
7 black boxcars can carry 7*4,000=<<7*4000=28000>>28,000 pounds of coal.
4 blue boxcars carry 4*8,000=<<4*8000=32000>>32,000 pounds of coal.
Together, all the trains boxcars can carry 72,000+28,000+32,000=<<72000+28000+32000=132000>>132,000 pounds of coal.
#### 132,000 | [
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] | [
"ratios",
"multiplication",
"addition"
] | [
"transportation",
"industry"
] | 4 |
Kirsty collects small models of animals. The last time she bought some, each one cost $0.45. She saves enough to buy 30 models, but when she goes to the shop, she finds out that the price had increased to $0.50. How many models can she buy now? | Kirsty has 0.45 × 30 = $<<0.45*30=13.50>>13.50 to spare to buy her models.
She can only buy 13.50 ÷ 0.50 = <<13.50/0.50=27>>27 models as the price of each individual model has increased.
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] | [
"multiplication",
"division",
"problem_solving"
] | [
"shopping",
"collecting"
] | 2 |
There are 285 sweets in the bowl. If 49 of the sweets are red and 59 of the sweets are green, how many of the sweets are neither red nor green? | There are 49 + 59 = <<49+59=108>>108 red or green sweets in the bowl
There are 285 - 108 = <<285-108=177>>177 sweets that are neither red nor green
#### 177 | [
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] | [
"subtraction",
"basic_arithmetic_operations"
] | [
"everyday_life"
] | 2 |
A farmer gets 20 pounds of bacon on average from a pig. He sells each pound for $6 at the monthly farmer’s market. This month’s pig is a runt that grew to only half the size of the average pig. How many dollars will the farmer make from the pig’s bacon? | The pig grew to half the size of the average pig, so it will produce 20 / 2 = <<20/2=10>>10 pounds of bacon.
The rancher will make 10 * 6 = $<<10*6=60>>60 from the pig’s bacon.
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] | [
"ratios",
"proportional_reasoning",
"multiplication"
] | [
"farming",
"commerce"
] | 2 |
Ivanka wrote a book that took her 3 more months than it took Woody to write a book. Woody spent 1.5 years writing his book. How many months in total did Ivanka and Woody need to write their books? | Woody = 1.5 years = 18 months
Ivanka = 18 + 3 = <<18+3=21>>21 months
18 + 21 = <<18+21=39>>39 months
It took Ivanka and Woody 39 months to write their books.
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] | [
"unit_conversion",
"algebraic_equations",
"addition"
] | [
"publishing",
"writing"
] | 2 |
There are 45 children in a classroom. One-third of them are girls. How many boys are in the classroom? | One-third of all the kids are girls, which means 1/3 * 45 = <<1/3*45=15>>15 children.
So there are 45 - 15 = <<45-15=30>>30 boys in the classroom.
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] | [
"fractions",
"division"
] | [
"education"
] | 2 |
Four adults with 32 teeth went to the dentist for a checkup after realizing they were having severe tooth pain. They were found to have different numbers of damaged teeth, and each person had some teeth removed. The first person had 1/4 of all his teeth removed, and the second person had 3/8 of his teeth removed, the third person had half of his teeth removed, while the last person only had 4 teeth removed. What's the total number of teeth removed at the dental clinic? | The first person had 1/4 of all his teeth removed, a total of 1/4*32 = <<1/4*32=8>>8 teeth.
The second person had 3/8 of his teeth removed, meaning 3/8*32 = <<3/8*32=12>>12 of his teeth were removed.
Together, the first and the second person had 12+8 = <<12+8=20>>20 teeth removed in total.
The third person had half of his teeth removed, which were 1/2*32 = <<32/2=16>>16 teeth.
The first three people had a total of 20+16 = <<20+16=36>>36 teeth removed from their mouth.
The last person only had 4 teeth removed, bringing the total number of teeth removed at the dentist clinic to be 36+4 = <<36+4=40>>40 teeth.
#### 40 | [
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] | [
"fractions",
"equivalent_ratios",
"subtraction"
] | [
"health",
"dentistry"
] | 4 |
Megan pays $16 for a shirt that costs $22 before sales. What is the amount of the discount? | Let x be the amount of the discount.
We have, 22 - x = $16
We change the writing of the equation:
22 - x + x = 16 + x
So, 22 = 16 + x
We then Remove 16 from both sides:
22 - 16 = 16 + x - 16
So, 22 - 16 = x
So, the amount of the discount is x = $<<6=6>>6.
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] | [
"percentages",
"subtraction"
] | [
"shopping"
] | 2 |
Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew? | Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared.
The square of the base of the first triangle is 4*4=<<4*4=16>>16 square inches
The square of the height of the first triangle is 3*3=<<3*3=9>>9 square inches.
The sum of the squares of the base and the height of the first triangle is 16+9=<<16+9=25>>25
The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is √25=5 inches.
Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3+4=<<3+4=7>>7 inches
If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7+5=<<7+5=12>>12 inches.
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] | [
"pythagorean_theorem",
"perimeter_of_triangle"
] | [
"geometry_in_art"
] | 2 |
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.
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] | [
"multiplication",
"addition",
"unit_conversion"
] | [
"moving_house"
] | 2 |
Willie came back from Europe with 70 euros. Normally 5 euros is worth 1 dollar, but the money exchange at the airport will only give Willie 5/7ths of the official exchange rate. How many dollars does Willie get? | First first out how many euros Willie should have gotten using the official exchange rate: 70 euros / 5 euros/dollar = $<<70/5=14>>14
Then multiply this quantity by 5/7 to find how many dollars he actually got: 14 dollars * 5/7 = $2 * 5= $10
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] | [
"ratios",
"fractions",
"unit_conversion"
] | [
"travel",
"currency_exchange"
] | 4 |
Ernie's income is 4/5 of what it used to be and Jack's income is now twice what Ernie used to make. How much do they earn combined if Ernie used to make $6000? | If Ernie's income is 4/5 of what it used to be, she is earning 4/5*$6000=$<<4/5*6000=4800>>4800 now
Jack's income is now twice what Ernie used to make a total of 2*$6000 = $<<2*6000=12000>>12000
Combined, Ernie and Jack are making $12000+$4800 = $<<12000+4800=16800>>16800
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] | [
"fractions",
"ratios",
"multiplication"
] | [
"personal_finance"
] | 4 |
Anna wants to plant red and yellow tulips in the shape of a smiley face. She needs 8 red tulips for each eye and 18 red tulips for the smile. If she needs 9 times the number of tulips in the smile to make the yellow background of the face, how many tulips does she need total? | First find the total number of tulips in the eyes: 2 eyes * 8 tulips/eye = <<2*8=16>>16 tulips
Then find the number of tulips in the background: 18 tulips * 9 = <<18*9=162>>162 tulips
Then add the number of tulips in the eyes, smile, and background to find the total number of tulips: 16 tulips + 162 tulips + 18 tulips = <<16+162+18=196>>196 tulips
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] | [
"multiplication",
"addition"
] | [
"gardening",
"art"
] | 2 |
A train leaves its departure station with 6 coal cars, 12 iron cars, and 2 wood cars. Between each station, there are 6 miles, and it takes 25 minutes to travel between them. At each station, the train can deposit up to 2 coal cars, 3 iron cars, and 1 wood car. How many minutes will it take to deliver all the cars? | To deliver all the coal, you need to pass by 6 coal / 2 coal/station = <<6/2=3>>3 stations
To deliver all the iron, you need to pass by 12 iron / 3 iron/station = <<12/3=4>>4 stations
To deliver all the wood, you need to pass by 2 wood / 1 wood/station = <<2=2>>2 stations
So 4 stations are needed to deliver everything, so 4 stations * 25 minutes/station = <<4*25=100>>100 minutes are needed
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] | [
"ratios",
"division",
"multiplication"
] | [
"transportation",
"logistics"
] | 4 |
Ray always takes the same route when he walks his dog. First, he walks 4 blocks to the park. Then he walks 7 blocks to the high school. Finally, he walks 11 blocks to get back home. Ray walks his dog 3 times each day. How many blocks does Ray's dog walk each day? | The number of blocks in each walk around the neighborhood is 4 blocks + 7 blocks + 11 blocks = <<4+7+11=22>>22.
Ray's dog walks 3 walks × 22 blocks/walk = <<3*22=66>>66 blocks each day.
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] | [
"addition",
"multiplication"
] | [
"daily_life",
"pet_care"
] | 2 |
Jackie spends 8 hours working, 3 hours of exercise and spends 8 hours of sleep per day. How much free time does Jackie have? | Jackie spends a total of 8 + 8 + 3 = <<8+8+3=19>>19 hours on work, exercise, and sleeping.
Therefore he has 24 - 19 = <<24-19=5>>5 hours of free time.
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] | [
"subtraction",
"time"
] | [
"daily_routine"
] | 1 |
The vending machine fails to drop a snack when it’s purchased one in six times. One in ten times, it will accidentally drop two snacks. The rest of the time, it drops the purchased snack. If thirty people have used the vending machine once each to purchase a snack, how many snacks has the vending machine dropped? | The vending machine has been used 30 times, so it has failed to drop a snack 30 / 6 = <<30/6=5>>5 times.
The vending machine has dropped 2 snacks 30 / 10 = <<30/10=3>>3 times.
It has operated normally and dropped 1 snack 30 - 5 - 3 = <<30-5-3=22>>22 times.
Thus, the vending machine has dropped 22 + 3 * 2 = 22 + 6 = <<22+3*2=28>>28 snacks in thirty uses.
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"fractions",
"ratios",
"probability"
] | [
"real_world_consumerism"
] | 4 |
The local salon offers mani/pedis for $40.00. They are running a Mother's day special and offering 25% off their regular rate. Charlotte is treating herself, her daughter and 3 granddaughters to a spa day. How much will Charlotte spend on 5 mani/pedis? | A mani/pedi is $40.00 and they are offering 25% off so that's 40*.25 = $<<40*.25=10.00>>10.00 discount
The mani/pedi is $40.00 and there is a $10.00 discount so each one is 40-10=$<<40-10=30.00>>30.00
Charlotte is treating herself and 4 other people for a total of 5 people at $30.00 each so it will cost 5*30 = $<<5*30=150.00>>150.00
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] | [
"percentages",
"multiplication"
] | [
"beauty_and_cosmetics"
] | 2 |
Two companies A and B, are selling bottled milk. Company A sells a big bottle for $4 and Company B sells a big bottle for $3.5. Company A was able to sell 300 and company B 350 big bottles of milk. How much more money did one company make from the other? | Company A earned 300 * 4 = $<<300*4=1200>>1200 for big bottles of milk.
Company B earned 350 * 3.5 = $<<350*3.5=1225>>1225 for big bottles of milk.
Company B earned 1225 - 1200 = $<<1225-1200=25>>25 more than company A.
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] | [
"multiplication",
"subtraction",
"comparison"
] | [
"business",
"commerce"
] | 2 |
Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of fertilizer does Seymour need in total? | First find the total number of petunias: 4 flats * 8 petunias/flat = <<4*8=32>>32 petunias.
Then find the total number of roses: 3 flats * 6 roses/flat = <<3*6=18>>18 roses.
Now find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = <<32*8=256>>256 oz.
Now find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = <<18*3=54>>54 oz
Now find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = <<2*2=4>>4 oz.
Now add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = <<256+54+4=314>>314 oz.
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] | [
"multiplication",
"addition"
] | [
"gardening",
"commerce"
] | 2 |
Rachel weighs 75 pounds, 6 pounds less than Jimmy and 15 pounds more than Adam. What is the average weight of the three people, in pounds? | Jimmy weighs 75+6 = <<75+6=81>>81 pounds.
Adam's weight is 75-15= <<75-15=60>>60 pounds.
In total, the three weigh 75 + 81 + 60 = <<75+81+60=216>>216 pounds.
The average weight of the three is 216/3 = <<216/3=72>>72 pounds
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] | [
"algebraic_equations",
"averages"
] | [
"health_and_fitness"
] | 2 |
Bruce's aunt gave him $71 to spend on clothes at the mall. He bought 5 shirts that cost $5 each and a pair of pants that cost $26. How much money does Bruce have left to buy more clothes? | Bruce spent 5 * $5 on shirts = $<<5*5=25>>25.
Including the pants, Bruce spent $25 + $26 = $<<25+26=51>>51.
Since he began with $71, he has $71 - $51 spent = $<<71-51=20>>20 remaining.
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] | [
"subtraction",
"multiplication"
] | [
"shopping"
] | 2 |
Last Sunday, Logan went to church and realized that the number of children present was 80. If there were 60 male adults, and the total number of people in the church was 200, how many female adults were present? | The total number of male adults and children is 80+60 = <<80+60=140>>140 people.
The number of females is 200-140 = <<200-140=60>>60 female adults.
#### 60 | [
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] | [
"algebraic_equations",
"subtraction"
] | [
"church",
"demographics"
] | 2 |
Junior has 16 rabbits. On Monday, he bought 6 toys for his rabbits. On Wednesday, he bought twice as many toys as he did Monday. On Friday, he bought four times as many toys as he did on Monday, and on the next day he bought half as many toys as he did on Wednesday. If he split all the toys evenly between the rabbits, how many toys would each rabbit have? | On Wednesday, Junior bought 6*2 = <<6*2=12>>12 toys.
On Friday, Junior bought 6*4 = <<6*4=24>>24 toys.
On Saturday he bought 12/2 = <<12/2=6>>6 toys.
In total, Junior bought 6+12+24+6 = <<6+12+24+6=48>>48 toys.
Each rabbit would have 48/16 = <<48/16=3>>3 toys.
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] | [
"multiplication",
"division",
"ratios"
] | [
"pet_care"
] | 4 |
Of the 24 students in class, one-third are in the after-school chess program, and half of those students will be absent from school on Friday for the regional chess tournament. How many of the students in this class are going to that tournament? | There are 24/3=<<24/3=8>>8 students in the program.
And 8/2=<<8/2=4>>4 go to the tournament.
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] | [
"fractions",
"division",
"multiplication"
] | [
"school",
"extracurricular_activities"
] | 2 |
John buys 2 dozen cookies. He eats 3. How many cookies does he have left? | He got 2*12=<<2*12=24>>24 cookies
So he has 24-3=<<24-3=21>>21 cookies left
#### 21 | [
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] | [
"multiplication",
"subtraction"
] | [
"everyday_life",
"food"
] | 1 |
The number of trees is three times more than the number of stones in the courtyard. There are also twice as many birds in the trees as the combined number of trees and stones in the yard. If the number of stones is 40, how many birds are in the trees? | The number of trees is three times more than the number of rocks, meaning there are 3*40 = <<3*40=120>>120 more trees than rocks in the courtyard.
The total number of trees in the yard is 120+40 = <<120+40=160>>160
Combined, there are 160+40 = <<160+40=200>>200 trees and stones in the courtyard.
Since the number of birds is twice the combined number of trees and stones in the courtyard, there are 2*200 =<<2*200=400>>400 birds on the trees.
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] | [
"ratios",
"algebraic_equations",
"multiplication"
] | [
"environment",
"ecology"
] | 4 |
Emma has saved $230 in her bank account. She withdrew $60 to buy a new pair of shoes. The next week, she deposited twice as much money as she withdrew. How much is in her bank account now? | Emma had $230 - $60 = $<<230-60=170>>170 left in her bank account after she withdrew $60.
The next week, she deposited $60 x 2 = $<<60*2=120>>120.
Hence, she now has a total of $170 + $120 = $<<170+120=290>>290 in her bank account.
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] | [
"subtraction",
"multiplication",
"addition"
] | [
"personal_finance"
] | 2 |
Francine wants to know if a local chemical plant is releasing toxic waste that makes the frogs mutate. In one local pond, she catches 5 frogs with extra legs, 2 frogs with 2 heads, two frogs that are bright red, and 18 normal frogs. What percentage of the frogs have mutated, rounded to the nearest integer? | First add up the numbers of the three kinds of mutant frog: 5 frogs + 2 frogs + 2 frogs = <<5+2+2=9>>9 frogs
Then add that number to the number of normal frogs to find the total number of frogs: 9 frogs + 18 frogs = <<9+18=27>>27 frogs
Finally, divide the number of mutant frogs by the total number of frogs and multiply by 100% to find the percentage of frogs that are mutants: 9 frogs / 27 frogs * 100% = 33.333...%, which rounds to 33%
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] | [
"fractions",
"percentages",
"ratio"
] | [
"environmental_science",
"ecology"
] | 2 |
A train takes 2 hours longer to go an equal distance of a car. If the car and the train leave station A at the same time, and the car reaches station B 4.5 hours later, calculate the combined time the car and the train take to reach station B. | Since the train takes 2 hours longer to go an equal distance as the car, to reach station B, the train took 4.5+2 = 6.5 hours.
Together, the train and the car take a total of 6.5+4.5 = <<6.5+4.5=11>>11 hours to travel from station A to station B.
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] | [
"algebraic_equations",
"time_and_distance"
] | [
"transportation"
] | 4 |
Darma can eat 20 peanuts in 15 seconds. At this same rate, how many peanuts could she eat in 6 minutes? | There are 60 * 6 = <<60*6=360>>360 seconds in 6 minutes.
Then there are 360/15 = <<360/15=24>>24 sets of 15 seconds.
So, Darma could eat 24 x 20 = <<24*20=480>>480 peanuts.
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] | [
"ratios",
"unit_conversion",
"proportional_reasoning"
] | [
"everyday_life",
"eating_habits"
] | 4 |
Mary is paying her monthly garbage bill for a month with exactly four weeks. The garbage company charges Mary $10 per trash bin and $5 per recycling bin every week, and Mary has 2 trash bins and 1 recycling bin. They're giving her an 18% discount on the whole bill before fines for being elderly, but also charging her a $20 fine for putting inappropriate items in a recycling bin. How much is Mary's garbage bill? | First find how much Mary pays weekly for the trash bins: $10/trash bin * 2 trash bins = $<<10*2=20>>20
Then add this to the cost of the recycling bin: $20 + $5 = $<<20+5=25>>25
Then multiply the week cost by the number of weeks per month to find the monthly cost: $25/week * 4 weeks/month = $<<25*4=100>>100/month
Now calculate Mary's senior discount: 18% * $100 = $<<18*.01*100=18>>18
Now subtract the discount and add the fine to find the total monthly cost: $100 - $18 + $20 = $<<100-18+20=102>>102
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] | [
"percentages",
"multiplication",
"addition",
"subtraction"
] | [
"household_bills",
"waste_management"
] | 4 |
The basketball team is practicing their free-throws, making as many as they can in one minute. DeShawn made 12 free-throws, and Kayla made 50% more than DeShawn. If Annieka made 4 fewer than Kayla, how many did Annieka make? | Kayla made 12*1.50=<<12*1.50=18>>18 free-throws.
Annieka made 18-4=<<18-4=14>>14 free-throws.
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] | [
"percentages",
"algebraic_equations",
"subtraction"
] | [
"sports"
] | 2 |
Mark has kangaroos and goats. Kangaroos have two legs and goats have four legs. If he has 23 kangaroos and three times as many goats as kangaroos what is the total number of legs of all his animals? | His kangaroos have a total of 23*2=<<23*2=46>>46 legs
He has 23*3=<<23*3=69>>69 goats
The goats have 69*4=<<69*4=276>>276 legs
So in total his animals have 276+46=<<276+46=322>>322 legs
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] | [
"multiplication",
"addition",
"ratios"
] | [
"farming",
"zoology"
] | 2 |
Half of all the people in Nantucket will attend a planned meeting for a bowl game. There are 300 people in Nantucket, and the number of males going to the meeting is twice the number of females. How many females are going to the meeting? | If half of the people in Nantucket are going to the planned meeting, then there are 1/2*300 = <<300*1/2=150>>150 people going to the meeting.
If the number of males going to the meeting is twice the number of females, we'll assume the number of females is x and the number of males is 2x.
We know that x+2x=150
Adding like terms produces 3x=150
After dividing both sides by 3, we have x = 150/3 = <<150/3=50>>50
The number of females attending the meeting is x = <<50=50>>50
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] | [
"ratios",
"fractions",
"algebraic_equations"
] | [
"sports",
"community_events"
] | 4 |
Jackson works 5 days a week going door-to-door collecting for charity. His goal is to raise $1000 for the week. He earned $300 on Monday and $40 on Tuesday. If he collects an average of $10 for every 4 houses he visits, how many houses will he have to visit on each of the remaining days of the week to meet his goal? | First find the total amount Jackson still needs to collect: $1000 - $300 - $40 = $<<1000-300-40=660>>660
Then subtract the number of days he already worked from the number of workdays in the week to find how many more days he'll work: 5 days - 2 days = <<5-2=3>>3 days
Then divide the total amount he still needs to earn by the number of days he has to earn it to find how much he needs to earn per day: $660 / 3 days = $<<660/3=220>>220/day
Then find how much money he collects per house: $10 / 4 houses = $<<10/4=2.50>>2.50/house
Then divide the amount he needs to collect per day by the amount he collects per house to find how many houses he needs to visit per day: $220/day / $2.50/house = <<220/2.5=88>>88 houses/day
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] | [
"ratios",
"algebraic_equations",
"averages"
] | [
"charity_work",
"fundraising"
] | 4 |
Lyka wants to buy a smartphone worth $160 but she only has $40 at the moment. She plans to save an equal amount of money per week for two months for the remaining amount that she needs. How much should she save per week? | Lyka has to save a total of $160 - $40 = $<<160-40=120>>120 for two months.
There are 2 x 4 = <<2*4=8>>8 weeks in two months.
Hence, Lyka needs to save $120/8 = $<<120/8=15>>15 per week.
#### 15 | [
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] | [
"subtraction",
"division"
] | [
"personal_finance",
"shopping"
] | 2 |
James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike? | First find how long the first trail takes to hike: 20 miles / 5 miles/hour = <<20/5=4>>4 hours
Then find how long James spends hiking the second trail: 12 miles / 3 miles/hour = <<12/3=4>>4 hours
Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = <<4+1=5>>5 hours
Then subtract the time for the first trail from the time for the second trail to find the difference: 5 hours - 4 hours = <<5-4=1>>1 hour
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] | [
"ratios",
"unit_conversion",
"time_and_work"
] | [
"hiking",
"outdoor_activities"
] | 4 |
Julia collects old watches. She owns 20 silver watches, and three times as many bronze watches. She decided to buy gold watches to add to her collection, a number that represents 10% of all the watches she owns. How many watches does Julia own after this purchase? | Julia owns 3 * 20 = <<3*20=60>>60 bronze watches.
60+20 = <<60+20=80>>80 total silver and bronze watches
10% of all Julia's watches is 80 * 10/100 = <<80*10/100=8>>8 watches, and she decided to buy so many gold watches.
So in total Julia is in possession of 20 + 60 + 8 = <<20+60+8=88>>88 watches.
#### 88 | [
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"ratios",
"percentages",
"multiplication"
] | [
"collecting"
] | 2 |
Mary uses plastic grocery bags that can hold a maximum of twenty pounds. She buys 4 pounds of green beans, 6 pounds milk, and twice the amount of carrots as green beans. How many more pounds of groceries can Mary fit in that bag? | First find the total weight of the carrots: 4 pounds * 2 = <<4*2=8>>8 pounds
Now add the total weight of each item: 6 pounds + 8 pounds + 4 pounds = <<6+8+4=18>>18 pounds
Now subtract the total weight of the groceries from the bag's weight limit: 20 pounds - 18 pounds = <<20-18=2>>2 pounds
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] | [
"addition",
"multiplication",
"subtraction"
] | [
"grocery_shopping"
] | 2 |
A chihuahua, pitbull, and great dane weigh a combined weight of 439 pounds. The pitbull weighs 3 times as much as the chihuahua. The great dane weighs 10 more pounds than triple the pitbull. How much does the great dane weigh? | Let x represent the weight of the chihuahua
Pitbull:3x
Great dane:10+3(3x)=10+9x
Total:x+3x+10+9x=439
13x+10=439
13x=429
x=<<33=33>>33 pounds
Great dane:10+9(33)=307 pounds
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] | [
"algebraic_equations",
"multiplication",
"addition",
"subtraction"
] | [
"veterinary_medicine",
"animal_care"
] | 4 |
A Ferris wheel can accommodate 70 people in 20 minutes. If the Ferris wheel is open from 1:00 pm until 7:00 pm, how many people will get to ride? | The Ferris wheel will be open for 7:00 - 1:00 = 6 hours.
In one hour the wheel can ride 60 minutes / 20 minutes = <<60/20=3>>3 times the number of riders.
The total per hour riders is 3 * 70 people = <<3*70=210>>210 people.
If the ride is open 6 hours * 210 people = <<6*210=1260>>1260 people can ride.
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] | [
"ratios",
"unit_conversion",
"multiplication"
] | [
"amusement_park"
] | 2 |
Michael has $42. His brother has $17. Michael gives away half the money to his brother. His brother then buys 3 dollars worth of candy. How much money, in dollars, did his brother have in the end? | Michael gives away 42/2=<<42/2=21>>21 dollars.
His brother then has 21+17=<<21+17=38>>38 dollars.
In the end, his brother has 38-3=<<38-3=35>>35 dollars.
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] | [
"fractions",
"subtraction",
"addition"
] | [
"personal_finance",
"family"
] | 2 |
Anna is reading a 31-chapter textbook, but she skips all the chapters that are divisible by 3. If it takes her 20 minutes to read each chapter, how many hours does she spend reading total? | First divide 32 by 3, ignoring the remainder, to find how many chapters in the book are divisible by 3: 31 / 3 = 10.33..., which means 10 chapters are divisible by 3
Then subtract that number from the total number of chapters to find how many chapters she reads: 31 chapters - 10 chapters = <<31-10=21>>21 chapters
Then multiply the number chapters by the time to read each chapter to find the total time she spends reading: 21 chapters * 20 minutes/chapter = <<21*20=420>>420 minutes
Then divide that time by the number of minutes per movie to find the total time spent reading in hours: 420 minutes / 60 minutes/hour = <<420/60=7>>7 hours
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] | [
"divisibility",
"multiples",
"unit_conversion"
] | [
"education"
] | 2 |
There are 3 bicycles, 4 tricycles and 7 unicycles in the garage at Zoe's house. Each bicycle has 2 wheels, each tricycle has 3 wheels and each unicycle has 1 wheel. How many wheels are there in all? | The number of bicycle wheels is 2 × 3 = <<2*3=6>>6.
The number of tricycle wheels is 3 × 4 = <<3*4=12>>12.
The number of unicycle wheels is 1 × 7 = <<1*7=7>>7.
The total number of wheels is 6 + 12 + 7 = <<6+12+7=25>>25.
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] | [
"multiplication",
"addition"
] | [
"transportation"
] | 2 |
There are 30 players on a football team. The coach has 8 liters of water. She pours 200 milliliters of water for every player so they can get hydrated. Unfortunately, there was a water spill and 250ml of water was spilled. How much water was left over? | The coach has 8 liters * 1000 ml/liter = <<8000=8000>>8,000 ml of water.
She pours 200 ml/player x 30 players = <<200*30=6000>>6,000 ml of water in total for all the athletes.
The water spill means 6,000 ml + 250 ml = <<6000+250=6250>>6,250 ml of water was used.
There was 8,000 ml - 6,250 ml = <<8000-6250=1750>>1,750 ml of water left.
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] | [
"unit_conversion",
"multiplication",
"subtraction"
] | [
"sports"
] | 2 |
Kelly has 8 chickens that lay 3 eggs each per day. If Kelly sells these eggs for $5 a dozen. How much money will she make in 4 weeks if she sells all her eggs? | Each chicken lays 7 * 3 = <<7*3=21>>21 eggs a week
Each week all the chickens lay 21 * 8 = <<21*8=168>>168 eggs
In 4 weeks all the chickens lay 168 * 4 = <<168*4=672>>672 eggs
672 eggs equal 672 / 12 = <<672/12=56>>56 dozens.
Kelly would make 56 * 5 = <<56*5=280>>280 dollars
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] | [
"multiplication",
"division",
"unit_conversion",
"ratios"
] | [
"farming",
"commerce"
] | 4 |
Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate 1 while waiting for the party to start. How many cakes are left? | The total number of cakes baked is 12 + 4 = <<12+4=16>>16 cakes.
But since Diego ate 1 cake, there are 16 - 1 = <<16-1=15>>15 cakes left.
#### 15 | [
0.18100884556770325,
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] | [
"addition",
"subtraction"
] | [
"baking",
"celebrations"
] | 1 |
John decides to go back to school to get his PhD. He first takes 1 year of courses to get acclimated back to school life before starting his PhD. After that, he spends 2 years learning the basics of his field. He then starts research, and he spends 75% more time on research than he did learning the basics. He then spends half as long on writing his dissertation as his acclimation period. How long did it take him to do everything? | It took him 2*.75=<<2*.75=1.5>>1.5 years longer to do his research than it took to learn the basics
So it took him a total of 2+1.5=<<2+1.5=3.5>>3.5 years to do research
His dissertation took 1/2 = <<1/2=.5>>.5 years to write
So everything together took 1+2+3.5+.5=<<1+2+3.5+.5=7>>7 years
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] | [
"percentages",
"ratios",
"algebraic_equations"
] | [
"education",
"academia"
] | 4 |
Charlie can make 5350 steps while running on a 3-kilometer running field. If he can run around the field 2 1/2 times during a running session, how many steps was he able to make? | Charlie's steps for 3 kilometers is 5350 x 2 = <<5350*2=10700>>10700 steps were made when he run twice the field.
Since he has run half of the field 5350 / 2 = <<5350/2=2675>>2675 steps were made when he runs half of the 3-kilometer field.
Therefore, Charlie was able to make 10700 + 2675 = <<10700+2675=13375>>13375 steps for the 2 and a half run around the field.
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] | [
"ratios",
"proportional_reasoning",
"fractions"
] | [
"athletics",
"running"
] | 4 |
A zoo has 21 penguins and twice as many polar bears? How many total animals do they have? | There are 21*2=<<21*2=42>>42 polar bears
So the total 21+42=<<21+42=63>>63 total animals
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] | [
"multiplication",
"addition"
] | [
"zoology",
"wildlife"
] | 2 |
Dennis lives two floors above Charlie. Charlie lives on a floor whose number is 1/4 Frank's floor number. Frank lives on the 16th floor. What floor does Dennis live on? | First find Charlie's floor number by dividing Frank's floor number by 4: 16 / 4 = <<16/4=4>>4
Then add 2 to find Dennis' floor number: 4 + 2 = <<4+2=6>>6
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] | [
"fractions",
"multiplication",
"addition"
] | [
"apartment_building"
] | 2 |
There were 148 peanuts in a jar. Brock ate one-fourth of the peanuts and Bonita ate 29 peanuts. How many peanuts remain in the jar? | 148 * (1/4) = <<148*(1/4)=37>>37
148 - 37 - 29 = <<148-37-29=82>>82
There are 82 peanuts left in the jar.
#### 82 | [
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] | [
"fractions",
"subtraction",
"division"
] | [
"everyday_life",
"food"
] | 2 |
Marlon had 42 lollipops in the beginning. On his way home, he saw Emily and gave her 2/3 of his lollipops. Then, Marlon kept 4 lollipops and gave the rest to Lou. How many lollipops did Lou receive? | Marlon gave Emily 42 x 2/3 = <<42*2/3=28>>28 lollipops.
So, he only had 42 - 28 = <<42-28=14>>14 lollipops left.
After keeping 4, Marlon gave 14 - 4 = <<14-4=10>>10 lollipops to Lou.
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] | [
"fractions",
"division",
"subtraction"
] | [
"everyday_life",
"social_interactions"
] | 4 |
A movie ticket for an adult costs $8, and a child's ticket costs $3. One adult is taking a group of children to the movies. She has $35. How many children can she take with her to the movies? | Let X be the number of children the adult can take with her. She has $35, so she could buy one ticket for her and the rest for the children.
So she has $35 - $8 = $<<35-8=27>>27 left for children.
She could take $27 / $3/child = <<27/3=9>>9 children with her.
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] | [
"algebraic_equations",
"subtraction",
"division"
] | [
"entertainment"
] | 2 |
An investment bank gives 10 percent interest at the end of every month. How much money in total will you have, including interest, at the end of 2 months if you invest $300? | After the first month you get 10/100 * $300 = $<<10/100*300=30>>30 interest.
After the first month you will have $300 + $30 = $<<300+30=330>>330 in total.
After the second month you get = 10/100 * $330 = $<<10/100*330=33>>33 interest.
After the second month you will have $330 + $33 = $<<330+33=363>>363 in total.
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] | [
"percentages",
"multiplication",
"addition"
] | [
"finance",
"banking",
"investment"
] | 2 |
A plane takes off at 6:00 a.m. and flies for 4 hours from New York City to Chicago. The plane stays at the port in Chicago for 1 hour and then departs for Miami. If the aircraft took three times as many hours to fly to Miami than it took to fly from New York to Chicago, calculate the total time to travel from New York to Miami. | Before departing for Miami from Chicago, the total time the plane had taken for the journey is 4+1 = <<4+1=5>>5 hours.
It took 3*4 = <<3*4=12>>12 hours to fly to Miami
The total flying time from New York to Miami is 12+5 = <<12+5=17>>17 hours
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] | [
"ratios",
"multiplication",
"addition",
"time_conversions"
] | [
"aviation",
"travel"
] | 2 |
Josh buys 3 packs of string cheese. Each piece of string cheese cost 10 cents. Each pack has 20 string cheeses in them. How many dollars did he pay? | Each pack cost 20*10=<<20*10=200>>200 cents
So each pack cost 200/100=$<<200/100=2>>2
That means he pays 2*3=$<<2*3=6>>6
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] | [
"multiplication",
"division",
"unit_conversion"
] | [
"shopping"
] | 2 |
Every year, four clowns and thirty children go on a carousel. This year, the candy seller, at the carousel, had 700 candies. The candy seller then sold 20 candies, to each of the clowns and the children, who attended. How many candies did he have left? | Since there are four clowns at the carousel this year, the candy seller sold 20*4 = <<20*4=80>>80 candies to all the clowns.
The thirty children also bought 20*30 = <<20*30=600>>600 candies in total.
Altogether, the candy seller sold 600+80 = <<600+80=680>>680 candies to the clowns and children at the carousel.
The number of candies the candy seller has left is 700-680= <<700-680=20>>20
#### 20 | [
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] | [
"subtraction",
"multiplication"
] | [
"amusement_park"
] | 2 |
Ben wants to pick 56 sugar snap peas. At his current rate of picking, all will be picked in seven minutes. How long, in minutes, would it take Ben to pick 72 sugar snap peas? | In 1 minute, Ben picks 56/7=<<56/7=8>>8 sugar snap peas.
Ben would take 72/8=<<72/8=9>>9 minutes to pick 72 sugar snap peas.
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] | [
"ratios",
"proportional_reasoning"
] | [
"agriculture",
"farming"
] | 2 |
John buys 2 packs of index cards for all his students. He has 6 classes and 30 students in each class. How many packs did he buy? | John has 6*30=<<6*30=180>>180 students
So he bought 180*2=<<180*2=360>>360 packs
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] | [
"multiplication",
"division"
] | [
"education"
] | 2 |
Five friends eat at Wendy's and ordered the following: a platter of Taco Salad that cost $10, 5 orders of Dave's Single hamburger that cost $5 each, 4 sets of french fries that cost $2.50, and 5 cups of peach lemonade that cost $2 each. How much will each of them pay if they will split the bill equally? | The cost of 5 pieces of Dave's Single hamburger is $5 x 5 = $<<5*5=25>>25.
The cost of 4 sets of french fries is $2.50 x 4 = $<<2.5*4=10>>10.
The cost of 5 cups of peach lemonade is $2 x 5 = $<<2*5=10>>10.
So, their total bill is $10 + $25 + $10 +$10 = $<<10+25+10+10=55>>55.
Therefore, each of them will contribute $55/5 = $<<55/5=11>>11.
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] | [
"addition",
"multiplication",
"division"
] | [
"real_world_financial_literacy",
"dining_out"
] | 2 |
Grandma wants to order 5 personalized backpacks for each of her grandchildren's first days of school. The backpacks are 20% off of $20.00 and having their names monogrammed on the back pack will cost $12.00 each. How much will the backpacks cost? | She needs 5 backpacks that are $20.00 each so that's 5*20 = $<<5*20=100.00>>100.00
The backpacks are currently 20% off so that's 100*.20 = $<<100*.20=20.00>>20.00 off
The backpacks costs $100.00 but are $20.00 off so they will cost $100-$20 = $<<100-20=80.00>>80.00
She wants each of the 5 backpacks to have her grandchild's name monogramed on them which costs $12.00 each so that's 5*$12 = $<<5*12=60.00>>60.00
The backpacks cost $80.00 and the monogramming costs $60.00 so together they will cost $80+$60 = $<<80+60=140.00>>140.00
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] | [
"percentages",
"multiplication",
"addition"
] | [
"shopping",
"school"
] | 2 |
Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has? | The bags of sugar which she bought contain 2 * 6 = <<2*6=12>>12 cups.
In total, she has 12 cups + 3 cups = <<12+3=15>>15 cups of sugar to use.
She needs 1 cup + 2 cups = <<1+2=3>>3 cups of sugar to make the batter and frosting for a dozen cupcakes.
Lillian has enough sugar to bake and ice 15 / 3 = <<15/3=5>>5 dozen cupcakes.
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] | [
"multiplication",
"division",
"addition",
"subtraction"
] | [
"baking"
] | 4 |
The three angles of a triangle add up to 180 degrees. The largest angle is 5 times bigger than the smallest. The middle angle is 3 times bigger than the smallest. How many degrees is the smallest angle? | Let x be the smallest angle.
The combination of the three is x + 3x + 5x = 9x.
Thus 9x = 180.
So x = <<20=20>>20.
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] | [
"algebraic_equations",
"linear_equations",
"angle_properties"
] | [
"geometry",
"trigonometry"
] | 4 |
Sasha added 48 cards into a box. Her sister, Karen, then took out 1/6 of the cards Sasha added. If there are now 83 cards in the box, how many cards were originally in the box? | Karen took out 48/6 = <<48/6=8>>8 cards from the box.
Originally, the box had 83-40 = <<83-40=43>>43 cards.
#### 43 | [
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] | [
"fractions",
"algebraic_equations",
"subtraction"
] | [
"everyday_life"
] | 4 |
John has to hire a lawyer. He pays $1000 upfront. He then gets charged $100 per hour. The lawyer has to work 50 hours in court time. It takes 2 times that long in prep time. His brother pays half the fee. How much did John pay? | The lawyer worked 50*2=<<50*2=100>>100 hours out of court
So he worked 100+50=<<100+50=150>>150 hours total
That means the hourly time cost 150*100=$<<150*100=15000>>15000
Adding the upfront cost it was 15000+1000=$<<15000+1000=16000>>16000
His brother paid half so he paid 16000/2=$<<16000/2=8000>>8000
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] | [
"multiplication",
"addition",
"division",
"fractions"
] | [
"law",
"finance"
] | 4 |
Jimmy wants to play in the inflatable swimming pool in his backyard. The swimming pool is empty and the garage is locked, so he cannot use the hose to fill the pool. He finds a 2 gallon bucket and calculates that it takes 20 seconds to fill the bucket from the tap and carry it to the pool where he pours in the water. If the pool holds 84 gallons of water, how many minutes will it take Jimmy to fill the pool? | It will take 84 / 2 = <<84/2=42>>42 trips to fill the pool with water.
This will take Jimmy 42 trips * 20 seconds per trip = <<42*20=840>>840 seconds.
This means that Jimmy will spend 840 seconds * 1 minute/ 60 seconds = 14 minutes filling the pool.
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