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A group of 25 scientists works in a research lab. The average work

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A group of 25 scientists works in a research lab. The average work  [#permalink]

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New post 10 Feb 2020, 22:11
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A group of 25 scientists works in a research lab. The average work experience of the entire group is 12 years. The male scientists have an average work experience of 14 years. What is the average work experience of female scientists, if there are 10 females in the group?

A) 7
B) 9
C) 9.5
D) 8
E) 10.1
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Re: A group of 25 scientists works in a research lab. The average work  [#permalink]

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New post 17 Feb 2020, 07:29
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Approach:

Given:
- Total Scientists : 25, female:10, male:15
- Avg exp (All): 12 yrs
- Avg exp (Female): assume x
- Avg exp (male): 14 yrs

Total exp: 14*15 + x*10 = 12*25

210 + 10x = 300 => x = 9

Avg exp (Female): 9 yrs

Option B
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Re: A group of 25 scientists works in a research lab. The average work  [#permalink]

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New post 17 Feb 2020, 10:47
Raxit85 wrote:
A group of 25 scientists works in a research lab. The average work experience of the entire group is 12 years. The male scientists have an average work experience of 14 years. What is the average work experience of female scientists, if there are 10 females in the group?

A) 7
B) 9
C) 9.5
D) 8
E) 10.1


total age of all ; 25*12 ; 300
total male ; 25-10 ; 15
and their sum of ages ; 15*14 ; 210
women sum of age ; 300-210 ; 90
and avg ; 90/10 ; 9
IMO B
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Re: A group of 25 scientists works in a research lab. The average work  [#permalink]

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New post 17 Feb 2020, 14:12

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Re: A group of 25 scientists works in a research lab. The average work  [#permalink]

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New post 19 Feb 2020, 00:12
Given 25 employees , 10 females and 15 males ,

average of males = 14, so sum of the ages is , sum / 15 = 14 , sum(m) = 210.

totale age average = 12 ,

sum of ages of male + sum of ages of female / 25 = 12

210 + number of females * Female average = 300.

Female average = 90/10 = 9.
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Re: A group of 25 scientists works in a research lab. The average work   [#permalink] 19 Feb 2020, 00:12
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