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# The ratio of female workers to male workers at a certain factory is 5

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Math Expert
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The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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27 Dec 2017, 03:31
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Difficulty:

35% (medium)

Question Stats:

75% (01:34) correct 25% (01:42) wrong based on 43 sessions

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The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?

A. 4 : 9
B. 7 : 6
C. 5 : 9
D. 27 : 22
E. 26 : 21

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Re: The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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Updated on: 27 Dec 2017, 10:58
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 52/42
= 26/21

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Originally posted by sumit411 on 27 Dec 2017, 04:16.
Last edited by sumit411 on 27 Dec 2017, 10:58, edited 1 time in total.
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Re: The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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27 Dec 2017, 04:50
# of female workers =f
#of male workers =m
f:m = 5:4 => f= 5x; m=4x
If 2 additional men and an equal number of women are hired the total number of employees becomes 94
=> m'=m+2; f'=f+2;
m+2 + f+2 = 94
9x + 4 =94 => x=10;

new ratio =f:m = 5x+2: 4x+2 =52:42 = 26:21
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Re: The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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27 Dec 2017, 07:53
Hi
you have correctly calculated the x, the proportionality factor for the ratio.
But there is an error in method of finding of new ratio.

New ratio = (5x+2)/(4x+2) = 52/42 = 26/21.

sumit411 wrote:
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 54/44
= 27/22

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

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Re: The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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27 Dec 2017, 10:59
gmatbusters wrote:
Hi
you have correctly calculated the x, the proportionality factor for the ratio.
But there is an error in method of finding of new ratio.

New ratio = (5x+2)/(4x+2) = 52/42 = 26/21.

sumit411 wrote:
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 54/44
= 27/22

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Thanks for pointing it out.
Edited the post.

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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Re: The ratio of female workers to male workers at a certain factory is 5  [#permalink]

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27 Dec 2017, 11:13
1
Bunuel wrote:
The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?

A. 4 : 9
B. 7 : 6
C. 5 : 9
D. 27 : 22
E. 26 : 21

$$\frac{Female}{Male} = \frac{5x}{4x}$$

So, $$(5x + 2) + (4x + 2) = 94$$

Or, $$9x = 90$$

So, $$x = 10$$

Thus, ratio of males to females after hiring is $$\frac{52}{42} = \frac{26}{21}$$, answer must be (E)
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Re: The ratio of female workers to male workers at a certain factory is 5   [#permalink] 27 Dec 2017, 11:13
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