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# Coffee or dessert?

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Retired Moderator
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]  16 Aug 2010, 11:40
00:00

Difficulty:

65% (hard)

Question Stats:

57% (02:18) correct 43% (01:34) wrong based on 46 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]  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
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1721
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 78

Kudos [?]: 472 [0], given: 109

Re: Coffee or dessert? [#permalink]  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

No
It is
[Reveal] Spoiler:
C

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

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WE 1: 8 years in Oil&Gas
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Kudos [?]: 98 [0], given: 15

Re: Coffee or dessert? [#permalink]  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%?

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Intern
Joined: 24 Jun 2010
Posts: 41
Location: Toronto
Schools: Berkeley Haas, UCLA Anderson, NYU Stern
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Kudos [?]: 6 [2] , given: 3

Re: Coffee or dessert? [#permalink]  16 Aug 2010, 15:04
2
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.
Manager
Joined: 07 Aug 2010
Posts: 84
Followers: 1

Kudos [?]: 16 [0], given: 9

Re: Coffee or dessert? [#permalink]  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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Joined: 30 Aug 2010
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Location: Bangalore, India
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Kudos [?]: 120 [0], given: 27

Re: Coffee or dessert? [#permalink]  12 Oct 2010, 01:11
Attachment:
File comment: Solution is in attachment
Coffee&dessert.docx [28.13 KiB]

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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# Coffee or dessert?

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