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? Think carefully first, then make a decision:
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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. So the answer is 30.
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