At College X, the faculty-to-student ratio is 1:9

Hi Vincen,

This prompt gives us a few facts to work with:
1) The ratio of faculty to students is 1:9 (meaning that the number of students MUST be a multiple of 9)
2) 2/3 of the students are FEMALE
3) 1/4 of the faculty are FEMALE (meaning that the number of faculty MUST be a multiple of 4)

We're asked for the fraction of total people that are female. This question can be solved by TESTing VALUES.

IF....
Total faculty = 4, then we have 1 female faculty
Total students = 36, then we have 24 female students
Total females = 25
Total people = 40
The answer to the question is 25/40 = 5/8

The logical question to ask is whether this fraction stays the same if we change the total number of people, so let's TEST another value...

IF....
Total faculty = 8, then we have 2 female faculty
Total students = 72, then we have 48 female students
Total females = 50
Total people =80
You should notice that ALL of the values increased by the same percent, so the answer to the question will be the SAME...
The answer to the question is 50/80 = 5/8

Final Answer: B

GMAT assassins aren't born, they're made,
Rich