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  3. Art, Bob, and Carmen share a prize of $400. If Art receives twice as much as Bob

Art, Bob, and Carmen share a prize of $400. If Art receives twice as much as Bob

游客2025-02-24  7
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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