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A certain company has only directors and managers. The company has 300

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A certain company has only directors and managers. The company has 300  [#permalink]

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New post 20 Jan 2019, 23:13
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A
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D
E

Difficulty:

  15% (low)

Question Stats:

92% (01:36) correct 8% (02:59) wrong based on 20 sessions

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A certain company has only directors and managers. The company has 300 directors and 200 managers. If the average age of the directors is 42 and the average age of the managers is 38, what is the average age of all the company’s employees?

A 39.8
B 40
C 40.2
D 40.4
E 41

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Re: A certain company has only directors and managers. The company has 300  [#permalink]

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New post 21 Jan 2019, 00:32
\(\frac{300*42+200*38}{500}\) = \(\frac{12600+7600}{500}\) = 20200/500 = 40.4

D is the answer.
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Re: A certain company has only directors and managers. The company has 300  [#permalink]

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New post 21 Jan 2019, 07:01
Bunuel wrote:
A certain company has only directors and managers. The company has 300 directors and 200 managers. If the average age of the directors is 42 and the average age of the managers is 38, what is the average age of all the company’s employees?

A 39.8
B 40
C 40.2
D 40.4
E 41



director total age = 300*42 = 12600
manager total age = 200* 38 = 7600

total age /total popn = 20200/500 = 40.4
IMO D
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A certain company has only directors and managers. The company has 300  [#permalink]

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New post 26 Jan 2019, 04:45
Weighted average:
(# directors/#employees)·average age of directors + (# managers/#employees)·average age of directors = overall average
\(\frac{300}{500}·42+\frac{200}{500}·38\)

\(\frac{3}{5}·42+\frac{2}{5}·38\)

\(\frac{126}{5}+\frac{76}{5}\)

\(25.2+15.2\)=40.4 D
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A certain company has only directors and managers. The company has 300   [#permalink] 26 Jan 2019, 04:45
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A certain company has only directors and managers. The company has 300

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