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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Mon Aug 15, 2011 4:06 am

At College X,the faculty-to-student ratio is 1:9.If two-thirds of the students are female and one-quarter of the faculty is female,what fraction of the combined stdents and faculty are female?

(A) 11/24
(B) 5/8
(C) 25/56
(D) 11/12
(E) It cannot be determined from the information given.

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Source: Beat The GMAT — Data Sufficiency | Mon Aug 15, 2011 4:06 am

kmittal82: Master | Next Rank: 500 Posts; Posts: 324; Joined: Mon Jul 05, 2010 6:44 amFollowed by: 3 members; Location: London; Thanked: 70 times

by kmittal82 » Mon Aug 15, 2011 4:51 am

Let total number of faculty = x, total number of students is then 9x

Female faculty = x/4 , male faculty = 3x/4
Female students = (2/3)9x = 6x, male students = 3x

So, total people = students + faculty = 10x
Number of females = x/4 + 6x = 25x/4

Ratio = 25/40 = 5/8

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