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Coffee or dessert? [#permalink]
 16 Aug 2010, 12:40
Question Stats:
36% (02:04) correct
63% (01:45) wrong based on 0 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.
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Re: Coffee or dessert? [#permalink]
16 Aug 2010, 13:01
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 Posted from my mobile device 
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SVP
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
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Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
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Re: Coffee or dessert? [#permalink]
16 Aug 2010, 13:12
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
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Re: Coffee or dessert? [#permalink]
16 Aug 2010, 13:33
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 Posted from my mobile device
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Re: Coffee or dessert? [#permalink]
16 Aug 2010, 16:04
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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]
10 Oct 2010, 23:26
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]
12 Oct 2010, 02:11
Attachment: File comment: Solution is in attachment
 Coffee&dessert.docx [28.13 KiB]
Downloaded 33 times
Hope it helps. Regards, Murali. Kudos me if you like my post.
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Re: Coffee or dessert?
[#permalink]
12 Oct 2010, 02:11
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