问题 单项选择题

Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have ?()

A.32

B.30

C.29

D.28

E.27

答案

参考答案:A

解析:

设Erica有a张5美元的钞票,b张10美元的钞票,且a>b,则根据题意可得:

5a+10b=46→a+2b=92→a=92-2b

由上式可知,a一定为偶数,所以(C)和(D)一定不对;因为a>b,所以3a>a+2b=92,再根据a为整数可知a一定大于30,所以(A)中的32是正确答案。

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