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# In a acertain company, the ratio of the numer of manager to

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In a acertain company, the ratio of the numer of manager to [#permalink]

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20 Sep 2010, 18:40
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86% (02:21) correct 14% (02:08) wrong based on 131 sessions

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In a acertain company, the ratio of the numer of manager to the number of production-line workers is 5 to 72. If 8 additional Production-line workers were to be hired, the ratio of the number of managers to the number of production-line workers would be 5 to 74. How many managers does the company have?

A. 5
B. 10
C. 15
D. 20
E. 25
[Reveal] Spoiler: OA
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Re: Ratio PS Manager Production line worker [#permalink]

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20 Sep 2010, 18:44
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Gacarva wrote:
In a acertain company, the ratio of the numer of manager to the number of production-line workers is 5 to 72. If 8 additional Production-line workers were to be hired, the ratio of the number of managers to the number of production-line workers would be 5 to 74. How many managers does the company have?

A. 5
B. 10
C. 15
D. 20
E. 25

Let there be x managers. Then the number of workers is 72/5 * x
With extra workers the ratio becomes 5 to 74, therefore :

$$\frac{(72/5)x + 8}{x}=\frac{74}{5}$$

$$72x + 40 = 74x$$

$$x = 20$$

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Re: Ratio PS Manager Production line worker [#permalink]

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20 Sep 2010, 20:30
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Gacarva wrote:
In a acertain company, the ratio of the numer of manager to the number of production-line workers is 5 to 72. If 8 additional Production-line workers were to be hired, the ratio of the number of managers to the number of production-line workers would be 5 to 74. How many managers does the company have?

A. 5
B. 10
C. 15
D. 20
E. 25

You can solve this problem the way discussed above or try the following:

Given: $$\frac{m}{w}=\frac{5x}{72x}$$, now 8 workers were hired and new ratio became $$\frac{m}{w+8}=\frac{5x}{74x}=\frac{5x}{72x+2x}$$, notice that nominator didn't change, so increase by 2 parts in denominator corresponds to increase by 8 workers (2 parts correspond to 8 workers = 4 times or in another words 2x=8 --> x=4), so 5 parts in nominator correspond to 5*4=20 managers.

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Re: Ratio PS Manager Production line worker [#permalink]

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21 Sep 2010, 05:08
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GMAT Date: 05-15-2012
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05 Feb 2012, 00:24
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let manager=m , and worker =w
m/w=5/72
=5w=72m.....1
m/w+8=5/74
5w+40=74m...........2
by solving the equations.....we find m=20
so ans is D
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Re: In a acertain company, the ratio of the numer of manager to [#permalink]

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05 Feb 2012, 02:22
Ans is D
m/w = 5/72 and m/w+8 = 5/74
where m is no of managers and w is the no of production workers. On solving we get the answer as m=20
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Re: In a acertain company, the ratio of the numer of manager to [#permalink]

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08 Jul 2016, 22:46
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Re: In a acertain company, the ratio of the numer of manager to   [#permalink] 08 Jul 2016, 22:46
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