2009 AMC 10A Problem 7

Below is the professionally curated solution for Problem 7 of the 2009 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2009 AMC 10A solutions, or check the answer key.

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Concepts:percentage linear equation

Difficulty rating: 960

A carton contains milk that is $2\%$ fat, an amount that is $40\%$ less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?

$\dfrac{12}{5}$

$3$

$\dfrac{10}{3}$

$38$

$42$

Solution:

Let whole milk be $x\%$ fat. Since $2$ is $40\%$ less than $x,$ we have $0.6x = 2,$ so $x = \dfrac{2}{0.6} = \dfrac{10}{3}.$

Thus, the correct answer is C.

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