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Coffee or dessert?

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Retired Moderator
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Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
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Coffee or dessert? [#permalink] New post 16 Aug 2010, 11:40
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (02:13) correct 50% (01:41) wrong based on 36 sessions
What is the fastest way to solve this question? The solution in the OG takes too much time.

If 75 percent of the guests at a certain banquet ordered dessert, what percent of the guests ordered coffee?
(1) 60 percent of the guests who ordered dessert also ordered coffee.
(2) 90 percent of the guests who ordered coffee also ordered dessert.
[Reveal] Spoiler: OA

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Re: Coffee or dessert? [#permalink] New post 16 Aug 2010, 12:01
Is the answer D?

X=D+C-DandC
D=.75X

1. DandC = .6 x .75X
We can get a relation between C and X

2. DandC = 0.9C
We can again relate C to X

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Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1727
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 63

Kudos [?]: 249 [0], given: 109

GMAT Tests User
Re: Coffee or dessert? [#permalink] New post 16 Aug 2010, 12:12
mainhoon wrote:
Is the answer D?

X=D+C-DandC
D=.75X

1. DandC = .6 x .75X
We can get a relation between C and X

2. DandC = 0.9C
We can again relate C to X

Posted from my mobile device Image


No :?
It is
[Reveal] Spoiler:
C

_________________

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Director
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Schools: Wharton, Sloan, Chicago, Haas
WE 1: 8 years in Oil&Gas
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Kudos [?]: 68 [0], given: 15

GMAT Tests User
Re: Coffee or dessert? [#permalink] New post 16 Aug 2010, 12:33
From 2 , c/x = 25, doesn't make sense... Perhaps we are assuming that each ordered D or C. That is perhaps an incorrect assumption...
In which case, we will need both the equations to solve for C and X

X = .75X + C - 0.6 x 0.75X + N
X = 0.75X + C - 0.9C + N

.9C =0.45X
C/X = 50%?

Answer C

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Re: Coffee or dessert? [#permalink] New post 16 Aug 2010, 15:04
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KUDOS
metallicafan - do you have the Official answer? Personally, I can't think a shorter way that this... (which is pretty much the same as mainhoon)

D = 0.75X

1) D&C = (0.75X) 0.6
Now you have Subset D only as well as subset D&C - Alone not sufficient

2) D&C = 0.9C
Now you have Subset D&C of subset C - Alone not sufficient

But what you do have is D&C = 0.9C = (0.75)(0.6)X which means you can isolate C as a percentage of X.
You need both pieces of info to solve.
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Re: Coffee or dessert? [#permalink] New post 10 Oct 2010, 22:26
nice q

C

0.9 X = 0.6(75)
X = percent of the guests ordered coffee = 0.6(75)/0.9

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Re: Coffee or dessert? [#permalink] New post 12 Oct 2010, 01:11
Attachment:
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Coffee&dessert.docx [28.13 KiB]
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Hope it helps.

Regards,
Murali.

Kudos me if you like my post.
Re: Coffee or dessert?   [#permalink] 12 Oct 2010, 01:11
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