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A factory has 500 workers, 15 percent of whom are women. If [#permalink]
17 Dec 2012, 06:00

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Difficulty:

5% (low)

Question Stats:

86% (02:05) correct
14% (00:53) wrong based on 390 sessions

A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink]
17 Dec 2012, 06:04

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Expert's post

Walkabout wrote:

A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?

(A) 3 (B) 10 (C) 25 (D) 30 (E) 35

Currently the factory has 0.15*500=75 women.

After 50 additional workers are hired, there will be total of 550 workers and we need 0.2*550=110 of them to be women, so we need 110-75=35 more women.

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink]
19 Jan 2015, 01:14

Or, setting up an equation:

First, find how many women we have: 500*0.15 = 75 women now. We need the number of women to be 20% of the total number of employees.

We will have 50 new employees, making the total # 500+50=550. We need to know how many of the additional workers need to be women in order for the women to be 0.20(550).

In other words: 75+x=0.20(550). This means how many women should we add to the 75 we already have so that the total # of women is 20% of the total # of workers (550).

Solving the equation we get: 75 + x = 0.20(550) 75 + x = 110 x = 110-75 x = 35 ANS E

gmatclubot

Re: A factory has 500 workers, 15 percent of whom are women. If
[#permalink]
19 Jan 2015, 01:14

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