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?
Answer: 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 is 30.
[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?
[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 is 93.
Q: 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?
A: 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 is 3500.
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?
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 is 16.
[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?
[Answer]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 is 4.
[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?
[Answer]
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 is 3.