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number of Atendees?

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by AIM TO CRACK GMAT » Tue Jan 15, 2013 12:35 am
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
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by Anurag@Gurome » Tue Jan 15, 2013 1:08 am
AIM TO CRACK GMAT 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?
Let us assume total number of attendees = N

Now, 2N/3 are females --> N/3 are non-female
And, N/3 are students

Number of female students = N/6
Hence, number of non-female students = (N/3 - N/6) = N/6
Hence, number of non-female non-students = (number of non-female - number of non-female students) = N/3 - N/6 = N/6

Hence, N/6 = 150 ---> N = 900

The correct answer is E.
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