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

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20 Sep 2010, 19:40

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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?

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

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20 Sep 2010, 19:44

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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 :

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

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20 Sep 2010, 21:30

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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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