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2011 AMC 12A Problem 3

Problem 3 of 25EasierAlgebraArithmetic

A small bottle of shampoo can hold 3535 milliliters of shampoo, whereas a large bottle can hold 500500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy?

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Solution

Fourteen bottles hold 14⋅35=49014 \cdot 35 = 490 milliliters, which is not enough. Fifteen bottles hold 15⋅35=52515 \cdot 35 = 525 milliliters, which suffices. So Jasmine needs 1515 bottles. Thus, the correct answer is E.
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