2005 AMC 10B 第 5 题

先试着解答 2005 AMC 10B 第 5 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2005 AMC 10B 解答,或核对答案

所有题目均经美国数学协会(MAA)官方合法授权使用。

5.

Brianna 用周末打工赚来的一部分钱购买若干张价格相同的 CD。她用自己钱的五分之一买了全部 CD 的三分之一。她买完所有 CD 后,还剩自己钱的几分之几?

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\dfrac15

13\dfrac13

25\dfrac25

23\dfrac23

45\dfrac45

答案:C
知识点:分数比与比例钱币
难度评级:960
解答:

买完所有 CD 的花费是买三分之一 CD 的三倍,即她的钱的 315=353 \cdot \dfrac15 = \dfrac35

剩下的部分为 135=251 - \dfrac35 = \dfrac25

所以正确答案是 C

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

The fraction left over is 135=25.1 - \dfrac35 = \dfrac25.

Thus, C is the correct answer.

← 第 4 题#4
完整试卷

其他年份的第 5 题