Wednesday, June 10, 2009

Problem 39 - GMAT Overlapping Sets

At a certain party attended by 120 people, one-third of the people are women and one-half of the women are students. If the number of students at the party is 4 times the number of men who are not students, how many of the people at the party are students?

(A) 20
(B) 30
(C) 40
(D) 60
(E) 80
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2 comments:

  1. Bhushan S.October 5, 2009 at 3:05 AM

    80

    ReplyDelete
  2. UnknownOctober 15, 2009 at 3:52 AM

    Total: 120
    Woman: 40 ---> 20 WS (Woman Students)
    Men: 80 ---> x MS (Men Students)
    Total students: 20 + x

    Solution:
    (20+x)= 4(80-x)
    5x=300, x=60
    20+60=80 (E)

    ReplyDelete

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