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

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Intern
Joined: 08 Nov 2008
Posts: 38
Followers: 0

Kudos [?]: 5 [0], given: 0

In a corporation, 50 percent of the male employees and 40 [#permalink]  11 Dec 2008, 13:55
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
SVP
Joined: 29 Aug 2007
Posts: 2497
Followers: 57

Kudos [?]: 556 [1] , given: 19

Re: employee [#permalink]  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)
_________________
SVP
Joined: 30 Apr 2008
Posts: 1892
Location: Oklahoma City
Schools: Hard Knocks
Followers: 34

Kudos [?]: 468 [0], given: 32

Re: employee [#permalink]  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

_________________

------------------------------------
J Allen Morris
**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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