Art, Bob, and Carmen share a prize of $400. If Art receives twice as much as Bob, and if Bob receives 1/2 as much as Carmen, how

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问题 Art, Bob, and Carmen share a prize of $400. If Art receives twice as much as Bob, and if Bob receives 1/2 as much as Carmen, how much does Carmen receive?

选项 A、$20
B、$40
C、$80
D、$120
E、$160

答案E

解析 Art,Bob,Carmen分享400美元的奖金,若Art接受的奖金数是Bob的两倍,并且Bob接受的奖金数是Carmen的1/2,问Carmen的奖金是多少?
解:本题的正确答案是(E)。设Carmen的奖金为x,Bob的为1/2 x,则Art是Bob的两倍也为x,由题意可得:x+1/2 x+x=400 → x=160
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