2005 AMC 12B 第 3 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

Brianna 用周末工作赚来的部分钱购买若干张同价 CD。她用自己钱的五分之一买了全部 CD 的三分之一。买完全部 CD 后,她还剩下自己钱的几分之几?

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?

15\dfrac{1}{5}

13\dfrac{1}{3}

25\dfrac{2}{5}

23\dfrac{2}{3}

45\dfrac{4}{5}

答案:C
知识点:分数比与比例
难度评级:1050
解答:

全部 CD 的费用是三分之一 CD 费用的三倍,即 315=353\cdot\dfrac15 = \dfrac35 的钱。

她剩下 135=251 - \dfrac35 = \dfrac25

所以正确答案是 C

Buying all the CDs costs three times what one third of them cost, namely 315=353\cdot\dfrac15 = \dfrac35 of her money.

She has 135=251 - \dfrac35 = \dfrac25 of her money left.

Thus, the correct answer is C.

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