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2013 AMC 10A Problem 2

Problem 2 of 25EasierAlgebra

Alice is making a batch of cookies and needs 2122\frac{1}{2} cups of sugar. Unfortunately, her measuring cup holds only 14\frac{1}{4} cup of sugar. How many times must she fill that cup to get the correct amount of sugar?

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Solution

Alice needs 212=522\frac12=\frac52 cups of sugar. Each full measuring cup gives 14\frac14 cup, so the number of fillings is 52÷14=52⋅4=10\frac52\div\frac14=\frac52\cdot4=10. Thus, B is the correct answer.

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Concepts: fraction

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.