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不太明白PREP上的一道数学题

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楼主
发表于 2009-9-22 21:26:00 | 只看该作者

不太明白PREP上的一道数学题

Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month.  The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save.  If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

 

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1/5

(E) 1/6

麻烦大家帮忙解答一下~

沙发
发表于 2009-9-22 21:33:00 | 只看该作者

设每月收入为M 存钱比例为S

则有12*M*S=3*M*(1-S)

整理一下 就可以算出S=1/5

板凳
 楼主| 发表于 2009-9-22 23:43:00 | 只看该作者

哈哈,明白了,太感谢了~

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