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

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Manager
Joined: 16 Jan 2007
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How many attendees are at a convention if 150 of the [#permalink]

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24 Dec 2007, 02:57
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Difficulty:

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Question Stats:

94% (01:49) correct 6% (02:48) wrong based on 73 sessions

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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: 862
Followers: 15

Kudos [?]: 286 [0], given: 0

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24 Dec 2007, 04:24
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
Joined: 03 Sep 2006
Posts: 879
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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: 1575
Followers: 3

Kudos [?]: 147 [0], given: 2

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24 Dec 2007, 15:45
i ended up with E, 900, but man, I think I took the long way around. I used a tree diagram !
24 Dec 2007, 15:45
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