BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

college

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

college

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.
Top
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 324
Joined: Mon Jul 05, 2010 6:44 am
Location: London
Thanked: 70 times
Followed by:3 members

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
Top
Post new topic Post Reply
• Page 1 of 1