A company paid $500,000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received tw

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问题 A company paid $500,000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C; each employee rated B received 3/2 times the amount of the raise that was paid to each employee rated C. If 50 workers were rated A, 100 were rated B, and 150 were rated C, how much was the raise paid to each employee rated A?

选项 A、$370
B、$625
C、$740
D、$1250
E、$2500

答案E

解析 某公司给业绩为A,B,C级的员工发放$500,000的奖金。每一个A级员工所拿奖金等于每一个C级员工的两倍;每一个B级员工所拿的奖金是每一个C级员工的1.5倍。若50个员工被评为A级,100个员工被评为B级,150个员工被评为C级,那么每个A级的员工得到的奖金是多少?
解:本题的正确答案为(E)。设C级雇员的奖金为x,由题意可得:50×2x+100×1.5x+150x=500,000;解方程可得x=$1,250,所以A级员工的奖金为$2,500。
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