very tough DS from Manhattan Gmat

varun007 · Posted: Sat Sep 06, 2008 7:40 am Post subject: very tough DS from Manhattan Gmat

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.

shahdevang87 · Posted: Sat Sep 06, 2008 4:51 pm Post subject:

Is answer C?

flystud777 · Posted: Sat Sep 06, 2008 8:37 pm Post subject:

i think it is C

total guests are 40. let me know if someone gets a different answer

flystud777 · Posted: Sat Sep 06, 2008 8:39 pm Post subject:

actually i take it back.

answer is A. total guests are still 40

gurudev · Posted: Sun Sep 07, 2008 12:19 am Post subject:

I guess the answer should be A, with 70 guests!!!

varun007 · Posted: Mon Sep 08, 2008 7:55 am Post subject:

you r right ans is OA is A pls can some body explain

ramlakhavan · Posted: Mon Sep 08, 2008 9:59 am Post subject:

From statement A , we get

say no. of veg = 5x
and no of nveg = 7y

no of n.veg non students = 15 (given)

=> 3y = 15 => no. of stud & n.veg = 20
also

5x + 20+15 = 2*5x (given)

=> 5x= 35 => x=7 => 10x = 70 (answer)

Very Happy