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Re: If 3/4 of the number of women working at Company X is equal to 2/3 of
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20 Nov 2016, 05:55

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lalania1 wrote:

If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12 B) 8/17 C) 1/2 D) 7/12 E) 8/9

Notice that the question does not ask us for the NUMBER of women; it asks us to determine the PROPORTION of women in the workforce. In these instances, we can assign a certain value to the number of women, and then see what this implies about the number of men and then go from there.

Let say there are 12 women [12 is a nice value since it works with many of the values in the two given fractions]

3/4 of the number of women working at Company X is equal to 2/3 of the number of men Let M = # of men We can write: (3/4)(12) = (2/3)(M) Simplify: 9 = (2/3)(M) Multiply both sides by 3/2 to get: (3/2)(9) = M Evaluate: 27/2 = M Aside: Okay, so we get a fractional value for the number of men. No problem since we're supposed to answer the question....

What fraction of the employees at Company X are women? Total number of employees = 12 + 27/2 = 24/2 + 27/2 =51/2 So, the fraction of all employees who are women = 12/(51/2) = 24/51 [multiplied top and bottom by 2] = 8/17 [divided top and bottom by 3] Answer:

Re: If 3/4 of the number of women working at Company X is equal to 2/3 of
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20 Nov 2016, 07:57

thanks. The answer is B. The reason I uploaded this question is to find out whether smart numbers or algebraic approach get you the right answer faster. For me, I choose the algebraic approach for this type of question.

Re: If 3/4 of the number of women working at Company X is equal to 2/3 of
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23 Aug 2018, 03:58

lalania1 wrote:

If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12 B) 8/17 C) 1/2 D) 7/12 E) 8/9

This is how i solved

Assume the no of women to be 40 3/4 women = 3/4* 40 = 2/3* total men 3/4* 40 = 30 women therfore 2/3* Total men = 30 Total men = 45 Total staff = 40+45 Fraction of women / staff 40/85 = 8/17 = B

gmatclubot

Re: If 3/4 of the number of women working at Company X is equal to 2/3 of &nbs
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23 Aug 2018, 03:58