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School of Science have opted Science?

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by sanju09 » Fri Jun 06, 2014 2:48 am
At The Bronx High School of Science, 40 percent of the male students have opted Science, and 25 percent of the female students have opted Math. If Science and Math are the only two courses to opt one from at The Bronx High School of Science, and all the students at The Bronx High School of Science have opted one of the two courses, how many of the female students at The Bronx High School of Science have opted Science?
(1) At The Bronx High School of Science, the number of male students who have opted Math is equal to the number of female students who have opted Science.
(2) At The Bronx High School of Science, there are 360 more male students who have opted Science than the female students who have opted Math.


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Source: — Data Sufficiency |

by theCodeToGMAT » Fri Jun 06, 2014 10:21 pm
Science = 40% Male 75% Females
Maths = 25% Females 60% Males

To find: Females in Science

Statement 1:
60% M = 75% F
M / F = 5 / 4
INSUFFICIENT

Statement 2:
40% M = 360 + 25% of F
40M = 36000 + 25F
40M - 25F = 36000
8M - 5F = 7200
We can get multiple values
INSUFFICIENT


Combining..
M/F = 5/4
8M - 5F = 7200
We can solve and get the values
SUFFICIENT

[spoiler]{C}?
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