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# How many attendees are at a convention if 150 of the

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Manager
Joined: 16 Jan 2007
Posts: 73
Followers: 1

Kudos [?]: 10 [0], given: 0

How many attendees are at a convention if 150 of the [#permalink]  24 Dec 2007, 02:57
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:44) correct 0% (00:00) wrong based on 16 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
Joined: 12 Jul 2007
Posts: 864
Followers: 13

Kudos [?]: 224 [0], given: 0

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
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 291 [0], given: 33

Re: PS- Question [#permalink]  24 Dec 2007, 05:12
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
Joined: 28 Dec 2005
Posts: 1578
Followers: 2

Kudos [?]: 91 [0], given: 2

i ended up with E, 900, but man, I think I took the long way around. I used a tree diagram !
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