Reasoning and answer: Let x be the number of pens bought. He bought 12 + 5x pencils. x + (12 + 5x) = 108. 6x + 12 = 108. 6x = 96. x = 16 pens.
The answer: 16
What was the question?
Question: Issac has to buy pens and pencils for the upcoming school year. Issac buys 108 writing utensils total. He buys 12 more than 5 times the number of pencils than pens. How many pens did Issac buy?


Susie spends 2 * 60 = 120 minutes vacuuming. Since she can vacuum each room in 20 minutes, she has 120 / 20 = 6 rooms in her house.
The answer: 6
Reverse engineering the question: There is a lot of dust in Susie's house. It takes her 2 hours to vacuum the whole house. She can vacuum each room in 20 minutes. How many rooms does she have in her house?


Reasoning and answer: After the first month you get 10 / 100 * $300 = $30 interest. After the first month you will have $300 + $30 = $330 in total. After the second month you get = 10 / 100 * $330 = $33 interest. After the second month you will have $330 + $33 = $363 in total.
The answer: 363
What was the question?
Question: 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?


First figure out how many city miles Carl will drive round trip by multiplying the one - way number of city miles by 2: 60 miles * 2 = 120 miles. Then figure out how many highway miles Carl will drive round trip by multiplying the one - way number of highway miles by 2: 200 miles * 2 = 400 miles. Now divide the round - trip number of city miles by the number of city miles per gallon Carl's car gets: 120 miles / 30 mpg = 4 gallons. Now divide the round - trip number of highway miles by the number of highway miles per gallon Carl's car gets: 400 miles / 40 mpg = 10 gallons. Now add the gallons for the highway miles and the city miles to find the total number of gallons Carl needs to buy: 10 gallons + 4 gallons = 14 gallons. Finally, multiply the number of gallons Carl needs to buy by the cost per gallon to find out how much he spends: 14 gallons * $3.00 = $42.00.
The answer: 42
Reverse engineering the question: Carl is figuring out how much he'll need to spend on gas for his upcoming road trip to the Grand Canyon. His car gets 30 miles per gallon in cities and 40 miles per gallon on the highway. The distance from his house to the Grand Canyon, one way, is 60 city miles and 200 highway miles. If gas costs $3.00 per gallon, how much will Carl need to spend?


Reasoning and answer: If 40 pounds of food was donated to the food bank in the first week, the second week, which had twice the amount of food donated as the first week, had 2 * 40 = 80 pounds of food. The total amount of food donated to the food bank after the second week is 40 + 80 = 120 pounds. In the third week, she gave to the homeless 70 / 100 * 120 = 84 pounds of food. The total amount of food remaining in the food bank after she gave out 70% to the homeless is 120 - 84 = 36 pounds of food.
The answer: 36
What was the question?
Question: Lyanna set up a food bank to collect food to give to the homeless in her local town. In the first week, 40 pounds of food were donated to the food bank by the people of her local town. In the second week, donations were twice as high as the first week. If she gave out 70% of the donated food to the homeless in the third week, calculate the amount of food remaining in the food bank.


Reasoning and answer: He pays 20 * 50 = $1000 per semester. So he pays 1000 * 2 = $2000.
The answer: 2000
What was the question?
Question:
James takes 20 units per semester at community college. If each unit costs $50 how much does he pay for 2 semesters?