Guests at a recent party ate a total of fifteen hamburgers. : GMAT Data Sufficiency (DS)
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# Guests at a recent party ate a total of fifteen hamburgers.

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Intern
Joined: 08 Mar 2009
Posts: 25
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Kudos [?]: 48 [2] , given: 13

Guests at a recent party ate a total of fifteen hamburgers. [#permalink]

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02 Nov 2009, 03:00
2
KUDOS
6
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Difficulty:

95% (hard)

Question Stats:

52% (02:09) correct 48% (01:47) wrong based on 91 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: guests-at-a-recent-party-ate-a-total-of-fifteen-hamburgers-104547.html
[Reveal] Spoiler: OA
Senior Manager
Joined: 18 Aug 2009
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02 Nov 2009, 05:23
1
KUDOS
This Q should use spaghetti not ^$% hamburgers... it is so twisted, represents the examiners mind I'd go with A. Here's how... 50% veg, 50% non veg VEG{Students:Non-students}=2:3=2xNON-VEG{Students:Non-students}=4:3 (3/7 Non-Veg, are non-students who ate burgers)=15 =>Non-Veg = 35; total attendees = 70 Sufficient. B. Either not sufficient (disconnected sets) or I'm too tired to look at it anymore Math Expert Joined: 02 Sep 2009 Posts: 36618 Followers: 7101 Kudos [?]: 93565 [1] , given: 10578 Re: Venn Diagram [#permalink] ### Show Tags 11 Nov 2009, 05:53 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED yangsta8 wrote: Wondering if anyone else has any alternative solutions to this? 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 The stem: Two groups: Students and not students (let's call them Professors), S and P; either Veg or Non.Veg, V and N. V&P+N&P=P and V&S+N&S=S We are told that that 15 hamburger was eaten 1 by each guest who was neither a student nor a vegetarian and only by them. So we know the number of P which are N=N&P=15. Basically this info was given only to determine this number and to make the wording confusing. Tricky GMAT! Half of the students V=N. --> Total=V+N=2V=2N. So if we knew the V or N we can calculate Total number of guests. What do we know from the stem: N&P=15 Total=V+N=2V=2N V&P+N&P=V&P+15=P and V&S+N&S=S Statements: (1) V&S/V&P=2/3 and N&S/N&P=N&S/15=2*2/3 --> N&S=20 which means that non vegetarian students were 20, but we know that non vegetarian professors were 15, total non vegetarians N=20+15=35. Total =2N=2*35=70. Sufficient. NOTE: If the rate of X (some fraction) is half the rate of Y (another fraction), then the rate of Y= twice rate of X. (2) V&P=Total*30%. We can not calculate numerical value of V&P hence insufficient. Answer: A. _________________ Senior Manager Joined: 31 Aug 2009 Posts: 419 Location: Sydney, Australia Followers: 8 Kudos [?]: 277 [0], given: 20 Re: Venn Diagram [#permalink] ### Show Tags 11 Nov 2009, 02:51 Wondering if anyone else has any alternative solutions to this? VP Joined: 05 Mar 2008 Posts: 1473 Followers: 11 Kudos [?]: 261 [0], given: 31 Re: Venn Diagram [#permalink] ### Show Tags 11 Nov 2009, 08:14 gmattokyo wrote: This Q should use spaghetti not ^$% hamburgers... it is so twisted, represents the examiners mind

I'd go with A.
Here's how...

50% veg, 50% non veg
VEG{Students:Non-students}=2:3=2xNON-VEG{Students:Non-students}=4:3
(3/7 Non-Veg, are non-students who ate burgers)=15
=>Non-Veg = 35; total attendees = 70
Sufficient.

B.
Either not sufficient (disconnected sets) or I'm too tired to look at it anymore

kudos..exactly right..spaghetti..
Intern
Joined: 09 Nov 2009
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11 Nov 2009, 18:01
that's a 600 level question?
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Kudos [?]: 527 [0], given: 70

Re: Guests at a recent party ate a total of fifteen hamburgers. [#permalink]

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25 Apr 2013, 21:23
Can any one help me solving this using 2*2 matrix

Archit
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Re: Guests at a recent party ate a total of fifteen hamburgers. [#permalink]

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25 Apr 2013, 23:59
Archit143 wrote:
Can any one help me solving this using 2*2 matrix

Archit

Check here: guests-at-a-recent-party-ate-a-total-of-fifteen-hamburgers-104547.html
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Re: Guests at a recent party ate a total of fifteen hamburgers.   [#permalink] 25 Apr 2013, 23:59
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