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
小提示:
买完全部 CD 的花费是买三分之一 CD 的三倍。
Buying all the CDs costs three times as much as buying one third of them
大提示:
全部 CD 花掉她钱的 3⋅153\cdot\dfrac15。
All the CDs cost 3⋅153\cdot\dfrac15 of her money
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 3⋅15=353 \cdot \dfrac15 = \dfrac35。
剩下的部分为 1−35=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 3⋅15=353 \cdot \dfrac15 = \dfrac35 of her money.
The fraction left over is 1−35=25.1 - \dfrac35 = \dfrac25.
Thus, C is the correct answer.
LIVE by Po-Shen Loh
LIVE项目

LIVE直播课程

Self-Paced录播课程

启明星Star计划

奖学金项目

关于我们

罗博深是谁?

邮件联系

订阅英文简报

加入我们

申请明星导师

For a more Thought Full world.

© 2026 Expii, Inc.