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In a corporation, 50 percent of the male employees and 40

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In a corporation, 50 percent of the male employees and 40 [#permalink] New post 11 Dec 2008, 13:55
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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?

A. 3/5
B. 2/3
C. 3/4
D. 4/5
E. 5/6
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Re: employee [#permalink] New post 11 Dec 2008, 13:58
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gorden wrote:
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


0.40F + 0.5 (1-F) = 0.42
F = 4/5 (CORRECTED FOR TYPO)
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Re: employee [#permalink] New post 11 Dec 2008, 14:03
D

0.5m + 0.4f = 0.42(m+f)

0.5m + 0.4f = 0.42m + 0.42f

0.08m = 0.02f

4m = f

This means that if m = 1 (or 1 male) then f = 4. so there are 4 f's for every 1 m. or 4/5.

gorden wrote:
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

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Re: employee   [#permalink] 11 Dec 2008, 14:03
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In a corporation, 50 percent of the male employees and 40

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