Day 16
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company?
Indicate all such amounts.
A. $26,000
B. $28,000
C. $29,000
D. $30,000
E. $31,000
F. $32,000
(不要急着向下看解析,自己先思考一下吧)
题目翻译:某公司的每一个员工都在X或Y部门。X部门的员工数不Y部门的员工数的两倍还多。X部门员工薪水的算数平均数是25000刀,而Y部门是35000刀。那么这个公司的所有员工薪水的算数平均数有可能是下列哪一个呢?
解答:假设 Y 有 1 个人, X 有 2 人,则平均是 28333。但 X 比 2 人要多,而 X 的工资有较少,所以真正的要比28333要少故选 A 和 B。 and there are more than twice as many employees in Department X as in Department Y,指 x 有比 Y 两倍的人还要多。第一句是表明员工不是 X 就是Y,不会同属两个部门。所以答案选AB。
难点:读懂题意,巧设数字。
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