Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20 * 2 = 40 problems. Frank composes 3 times as many as Ryan does, so this means Frank composes 40 * 3 = 120 problems. Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120 / 4 = 30 problems of each type.
The answer: 30
Reverse engineering the question: Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose?


Reasoning and answer: Jenson uses 2 x 3 = 6 yards of fabric for making shirts every day. Kingsley uses 5 x 5 = 25 yards of fabric every day for making pair of pants. So, the total yards of fabric they use per day is 25 + 6 = 31. Therefore, the total yards of fabric they use every 3 days is 31 x 3 = 93.
The answer: 93
What was the question?
Question: Jenson and Kingsley have a tailoring business. Jenson makes 3 shirts, and Kingsley makes 5 pairs of pants per day. If each shirt uses 2 yards of fabric and a pair of pants uses 5 yards of fabric, how many yards of fabric do they need every 3 days?


There are 30 x 5 = 150 stamps on each of the first 10 pages. So she has a total of 150 x 10 = 1500 stamps in the first 10 pages. There are 50 - 10 = 40 pages that have 50 stamps each. There is a total of 40 x 50 = 2000 stamps in the remaining 40 pages. Therefore, Stella has 2000 + 1500 = 3500 stamps in her album.
The answer: 3500
Reverse engineering the question: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in Stella's album?


Reasoning and answer: Lucas cleans a total of 3 floors * 3 windows / floor = 9 windows. The windows cleaned earn Lucas 2 dollars each, so Lucas earns 9 windows * $2 / window = $18. For taking 6 days to clean, Lucas' father subtracts 6 days / $3 / day = $2. In total, Lucas' father will pay him $18 - $2 = $16.
The answer: 16
What was the question?
Question: Lucas' father offers to pay him $2 for each window in the house that he cleans. Each floor of Lucas' house has 3 windows; Lucas lives in a 3-story house. To get Lucas to finish the job faster, his father tells him that he will subtract $1 for every 3 days that pass without Lucas finishing the job. In 6 days, Lucas finishes cleaning all the windows in the house. How much will his father pay him, in dollars?


He reads 2 * 50 = 100 pages a day. So he reads 7 * 100 = 700 pages a week. So it takes 2800 / 700 = 4 weeks.
The answer: 4
Reverse engineering the question: John reads his bible every day. He reads for 2 hours a day and reads at a rate of 50 pages an hour. If the bible is 2800 pages long how many weeks will it take him to read it all?


Paige has 100 space stickers that she is dividing among 3 friends, so 100 stickers / 3 friends = 33 stickers for each friend, with 1 remaining. She also has 50 cat stickers that she is diving among 3 friends, so 50 stickers / 3 friends = 16 stickers for each friend, with 2 remaining. So Paige will have 1 remaining space sticker + 2 remaining cat stickers = 3 stickers left.
The answer: 3
Reverse engineering the question:
Paige bought some new stickers and wanted to share them with 3 of her friends. She decided to share a sheet of 100 space stickers and a sheet of 50 cat stickers equally among her 3 friends. How many stickers will she have left?