2005 AMC 10B Problem 5

Problem 5 of 25EasierAlgebra

Brianna is using part of the money she earned on her weekend job to buy several equally-priced CDs. She used one fifth of her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs?

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Solution

Buying all the CDs costs three times as much as buying one third of them, namely

3 \cdot \dfrac15 = \dfrac35

of her money. The fraction left over is

1 - \dfrac35 = \dfrac25.

Thus, C is the correct answer.

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