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Guests at a recent party ate a total of fifteen hamburgers.

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Manager
Joined: 01 Aug 2008
Posts: 108
Guests at a recent party ate a total of fifteen hamburgers. [#permalink]

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02 Jun 2009, 06:46
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Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor a vegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, a vegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?

(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate for non-vegetarians.

(2) 30% of the guests were vegetarian non-students.

Pls Help

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Senior Manager
Joined: 15 Jan 2008
Posts: 268
Re: Guests at a recent party [#permalink]

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04 Jun 2009, 00:36
total 15 hamburgers were eaten..
Non veg non students = 15.

Total veg = 0.5X ( where X is the total )

1. statement is sufficient.

veg students / veg non students = 2 / 3

non veg students / non veg non students = 4/3

=> non veg students = 4*5 = 20.

As veg are half, non veg are other half.. total guests are 40..

2.statement is insuffient.

veg ( student and non student ) = 0.5X ( x is total no oif guests)
veg ( non student) = 0.3X
hence veg ( students ) = 0.2X

from teh prob statement, nonveg non student = 15

also, non veg ( student + non student ) = 0.5 X

but no idea on nonveg (student) == ???

Hence Answer will be A IMO..

Whats the OA ?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Guests at a recent party   [#permalink] 04 Jun 2009, 00:36
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