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Female employees

by tonebeeze » Fri May 06, 2011 3:36 pm
I got this answer correct, but can someone walk me through the algebra. Thanks.


What is the number of female employees in Company X?

1. If Company X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would be 16 to 9.

2. Company X has 105 more male employees than female employees

OA = C
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Source: — Data Sufficiency |
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by Arcane66 » Fri May 06, 2011 6:29 pm
The first thing I did was set up the equation from the information in #1. I got that a ratio that says y/x+14 = 16/9. This is not able to be solved because there are multiple combinations of numbers that would fit this scenario (I didn't make sure this is true, I just felt as though it was implied). So A and D are out of the question. Looking at #2, I see that this can't be solved by itself. So, A,B, and D are out of the question. Next, if you use the information from question #2 in the equation you set up in #1, you are able to figure out an answer. Now, I didn't figure it out because that is a waste of time. I just know that it's possible to figure out. So, select C.
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by Anurag@Gurome » Fri May 06, 2011 7:19 pm
What is the number of female employees in Company X?

1. If Company X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would be 16 to 9.

2. Company X has 105 more male employees than female employees
Let the no. of male employees = M and no. of female employees = F. We need to find F.

(1) M: (F + 14) = 16:9 or 9M = 16F + 224
The above equation is definitely NOT SUFFICIENT.

(2) M = F + 105, which is again NOT SUFFICIENT.

Combining (1) and (2), we can find the value of F as there are 2 variables and 2 equations.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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