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In a corporation, 50 percent of the male employees and 40 [#permalink]

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26 Aug 2010, 07:40

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In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?

In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females? A. 3/5 B. 2/3 C. 3/4 D. 4/5 E. 5/6

Given weighted average employees who are at least 35 years old: \(\frac{0.5m+0.4f}{m+f}=0.42\). Question: \(\frac{f}{m+f}=?\)

I have a different approach that may be useful for you:

Let's say that “x” is the % of male employees in the corporation. So, (1-x) is the % of female employees in the same company. Therefore: \((50%)(x) + (40%)(1-x) = 42%\)

Expressed in fractions: \((1/2)(x) + (2/5)(1-x) = 21/50\)

We solve the equation and we have: \(x = 1/5\)

\((1-x) = 4/5\)

Answer: 4/5 : D

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In corporation, 50% of the male employees and 40% of the female employees are at least 35 years old. If 42 employees of all the employees are at least 35 years old. What fraction of the employees in the corporation are females? A) 3/5 B) 2/3 C) 3/4 D) 4/5 E) 5/6
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In a corporation, 50 percent of the male employees and 40 percent of the female employeesa re at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?

In a corporation, 50 percent of the male employees and 40 percent of the female employeesa re at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?

a) 3/5

b) 2/3

c) 3/4

d) 4/5

e) 5/6

Merging similar topics. Please ask if anything remains unclear.
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In a corporation, 50 percent of the male employees and 40 percent of the female employeesa re at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?

a) 3/5

b) 2/3

c) 3/4

d) 4/5

e) 5/6

You can use the weighted averages formula for a 10 sec solution.

No of females/No of males = (50 - 42)/(42 - 40 ) = 4/1

No of females as a fraction of total employees = 4/(4+1) = 4/5

Re: In a corporation, 50 percent of the male employees and 40 [#permalink]

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23 Sep 2013, 11:39

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Re: In a corporation, 50 percent of the male employees and 40 [#permalink]

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28 Sep 2014, 13:36

Hello from the GMAT Club BumpBot!

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Re: In a corporation, 50 percent of the male employees and 40 [#permalink]

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04 Oct 2015, 11:32

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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