2011 AMC 10A Problem 2

Below is the professionally curated solution for Problem 2 of the 2011 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2011 AMC 10A solutions, or check the answer key.

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Concepts:divisibility estimation

Difficulty rating: 660

A small bottle of shampoo can hold $35$ milliliters of shampoo, whereas a large bottle can hold $500$ 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?

$11$

$12$

$13$

$14$

$15$

Solution:

The desired amount is $\dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}.$

This means that the smallest number of small bottles she must buy is $15.$

Thus, E is the correct answer.

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