Question

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?

Answer 1

a $26,000
b $28,000
c $29,000
d $30,000
e $31,000
f $32,000
g $34,000

Answer 2

answer is a and b but how do we determine these answers?

Answer 3

lets use 60 employees as an example.
at least 40 employees earn 25000
at most 20 employees earn 35000
40(25000)+20(35000)=$1,700,000
$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

Answer 4

if there are more than twice as many in department X*