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

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Intern
Joined: 08 Nov 2008
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In a corporation, 50 percent of the male employees and 40 [#permalink]

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11 Dec 2008, 13:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Joined: 29 Aug 2007
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11 Dec 2008, 13:58
1
KUDOS
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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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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**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a.

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Re: employee   [#permalink] 11 Dec 2008, 14:03
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