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In a corporation, 50 percent of the male employees and 40 [#permalink]
26 Aug 2010, 06:40

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Difficulty:

25% (medium)

Question Stats:

80% (03:15) correct
20% (03:04) wrong based on 134 sessions

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?

Re: Percent Problem [#permalink]
26 Aug 2010, 07:12

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Expert's post

udaymathapati 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

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}=?

Re: Percent Problem [#permalink]
26 Aug 2010, 08:46

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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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Corporation employees..... [#permalink]
15 Oct 2010, 02:34

1

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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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Helpful Geometry formula sheet:best-geometry-93676.html I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

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?

Re: GWD #1 Math 11 [#permalink]
05 Apr 2012, 12:05

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Expert's post

eybrj2 wrote:

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. _________________

Re: GWD #1 Math 11 [#permalink]
05 Apr 2012, 19:34

2

This post received KUDOS

Expert's post

eybrj2 wrote:

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]
23 Sep 2013, 10:39

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