In Cytherea Corporation, each employee was given an interpersonal assessment with a score from 0 to...

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In Cytherea Corporation, each employee was given an interpersonal assessment with a score from 0 to 60. The average score among all male employees was 35, and the average score for all employees was 39. If Cytherea Corporation has 40 male employees and 10 female employees, what was the average score among all female employees?

A. 40
B. 43
C. 47
D. 51
E. 55

The OA is E
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BTGmoderatorLU wrote:
Thu Jul 23, 2020 4:32 am
Source: Magoosh

In Cytherea Corporation, each employee was given an interpersonal assessment with a score from 0 to 60. The average score among all male employees was 35, and the average score for all employees was 39. If Cytherea Corporation has 40 male employees and 10 female employees, what was the average score among all female employees?

A. 40
B. 43
C. 47
D. 51
E. 55

The OA is E
Solution:

We can let f = the average score among all female employees and calculate a weighted average:

[(35)(40) + 10f]/50 =39

(35)(40) + 10f = (39)(50)

35 x 4 + f = 39 x 5

140 + f = 195

f = 55

Answer: E

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