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?
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answer is a and b but how do we determine these answers?
lets use 60 employees as an example.
at least 40 employees earn 25000
at most 20 employees earn 35000
$1,700,000/60=$28,333.33 AT MOST for the average salary. If there are more than twice as many employees then that average salary gets closer to $25,000