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2011 AMC 10A Problem 2

Problem 2 of 25EasierNumber TheoryArithmetic

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

The desired amount is 50035=1007=1427. \dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}. This means that the smallest number of small bottles she must buy is 15.15. Thus, E is the correct answer.
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