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How many attendees are at a convention if 150 of the

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Manager
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How many attendees are at a convention if 150 of the [#permalink] New post 24 Dec 2007, 03:57
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100% (02:01) correct 0% (00:00) wrong based on 2 sessions
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

a) 300

b) 450

c) 600

d) 800

e) 900
Director
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 [#permalink] New post 24 Dec 2007, 05:24
1/6 = female students
4/6 = female
2/6 = students

(4/6+2/6) = 6/6 - (1/6) = 5/6 (add two groups together and subtract out their shared amount)

5/6 are females OR students, if 150 are neither then 150 = 1/6 of attendees

Total = E. 900 attendees
Director
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Re: PS- Question [#permalink] New post 24 Dec 2007, 06:12
dynamo wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

a) 300

b) 450

c) 600

d) 800

e) 900


X is the total students

x = (2x/3) + (x/3) -( x/6) +150

x=900

You can solve it faster by drawing Venn Diagram.
SVP
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 [#permalink] New post 24 Dec 2007, 16:45
i ended up with E, 900, but man, I think I took the long way around. I used a tree diagram !
  [#permalink] 24 Dec 2007, 16:45
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