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by mberkowitz » Sat Nov 08, 2008 9:46 am
From mgmat cat:

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.

I tried solving this as an overlapping set problem, but think I'm missing something. If anyone can help I'd appreciate it.

OA is A
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Source: — Data Sufficiency |
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by cramya » Sat Nov 08, 2008 9:50 am
https://www.beatthegmat.com/mgmat-4-t11194.html

I am also trying to understand how "half the rate for non vegetarian part" i.e how this translates to 4/3.

This is the essence to the whole problem...
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by mberkowitz » Sat Nov 08, 2008 10:08 am
ty sir
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by mberkowitz » Sat Nov 08, 2008 10:36 am
I think this is a great example of why relying too heavily on one technique, and not maintaining flexibility can be dangerous on this test. I made the mistake of relying on mgmat's overlapping set technique, while thinking about this problem conceptually (and writing out the given information) is probably more affective for the average joe like me.
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by logitech » Sat Nov 08, 2008 11:19 am
cramya wrote:https://www.beatthegmat.com/mgmat-4-t11194.html

I am also trying to understand how "half the rate for non vegetarian part" i.e how this translates to 4/3.

This is the essence to the whole problem...
Cramya, first of all - I am sure one of those SC freaks get involved in the preparation of this problem :x

The question gives us:

(V-)(S-) = 15

Statement 1

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

V+/ Total(S-) OR V+/(V+S-)

This makes all the difference, but SUPRISINGLY the statement means the latter one.

So ;

V+S+/(V+S-) = 2/3 = 1/2 (V-S+)/(V-S-)

So this where we come up with 4/3

(V-S+)/(V-S-) = 22/3

V-S+ / 15 = 4/3

V-S+ =20

So V = (V-S+) + ( V-S-) = 20+15 = 35, which is half of the bustards, so 70

This supposed to be a math question, not a word puzzle.
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by praneeth » Sun Nov 09, 2008 8:23 am
logitech wrote:
cramya wrote:https://www.beatthegmat.com/mgmat-4-t11194.html

I am also trying to understand how "half the rate for non vegetarian part" i.e how this translates to 4/3.

This is the essence to the whole problem...
Cramya, first of all - I am sure one of those SC freaks get involved in the preparation of this problem :x

The question gives us:

(V-)(S-) = 15

Statement 1

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

V+/ Total(S-) OR V+/(V+S-)

This makes all the difference, but SUPRISINGLY the statement means the latter one.

So ;

V+S+/(V+S-) = 2/3 = 1/2 (V-S+)/(V-S-)

So this where we come up with 4/3

(V-S+)/(V-S-) = 22/3

V-S+ / 15 = 4/3

V-S+ =20

So V = (V-S+) + ( V-S-) = 20+15 = 35, which is half of the bustards, so 70

This supposed to be a math question, not a word puzzle.
Totally agree, wording is way to convoluted in the question, almost a critical reasoning (2 min) problem just to understand the question.
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