mgmat 4

[resilient]

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.
qa is a

would like to deal with this in charts and no ven diagrams please

[pavankumar_iitr]

my reasoning goes like this...........

"No hamburger was eaten by any guest who was a student, a vegetarian, or both" ---> there are 15 non-veg non students.

let us suppose that the total number of ppl is x then x/2 are veg and x/2 are non-veg.

.......................veg......................Non-veg

Students............b...........................a

Non Students.....c...........................15
____________________________________
Total.................x/2........................x/2


statement 1 says .................. b/c = 2/3 and a/15 = 4/3
thus a = 20 and the total non-veg is 35 (= total veg). hence the total number of guests is 70.


Statement 2 says................c=0.3x. this statement alsone is not sufficient.