AMC 8 2002 Problem 25

AMC8 2002 年第 25 题

比与比例★★★★☆

Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group's money does Ott now have?

和 Ott 是好朋友。Ott 没有钱，但其他人有。Moe 给了 Ott 五分之一的钱， Loki 给了 Ott 四分之一的钱，Nick 给了 Ott 三分之一的钱。每个人都给了 Ott 同样的钱。那么现在 Ott 有的钱占了四个人全部的钱的几分之几？

A. $\displaystyle \frac{1}{10}$
B. $\displaystyle \frac{1}{4}$
C. $\displaystyle \frac{1}{3}$
D. $\displaystyle \frac{2}{5}$
E. $\displaystyle \frac{1}{2}$

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