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# Morgan Stanley is hosting an investment conference in sunny

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Director
Joined: 14 Oct 2003
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Morgan Stanley is hosting an investment conference in sunny [#permalink]  26 Nov 2003, 14:12
Morgan Stanley is hosting an investment conference in sunny Phoenix and the investors attending the conference are offered to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf, whereas, 18% of the attendees do not know how to play either sport and will stay in their hotel rooms and do their homework to prepare for their breakout meetings. If 30% of the conference attendees do not how to play tennis, then how many attendees know how to play golf?

1)38.0%
2)46.5%
3)66.0%
4)75.0%
5)84.5%
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Senior Manager
Joined: 12 Oct 2003
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Intern
Joined: 04 Oct 2003
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Say T is number of tennis player
G is number of golf player

Then 90% of T play golf too
T = 70% of total

=> T&G = .9 * 70% = 63%
now G (that don't play tennis) = (100-18)-70 = 12

G = (T & G) + (G & not Tennis players) = 63+12 = 95

This is a long method and took me about 4 mins to solve. Is there a shorter method to this.

Director
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30% of all do not know how to play tennis, so 70% know to play tennis and golf. 90% of 70% is 63%( who play both) and 7% play only tennis and 12% can play only golf. Total amount of players is 82%-7=75% know how to play golf
Director
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75% is Correct - you guys are good!
Director
Joined: 13 Nov 2003
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yessssss....!!!
SVP
Joined: 30 Oct 2003
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I used the following formula

Total = G + T + N - B

B - Both tennis and Glof
G - Total Golf
T - Total Tennis
N - Neither

N = 18
30% dont know how to play tennis
so T = 70
Also 90% people who play tennis play golf as well
so B = 63

100 = G + 70 + 18 - 63
G = 75
GMAT Club Legend
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On questions like these, I just draw a diagram. It is so much easier to understand IMO. I would have drawned one if only I knew how to
_________________

Best Regards,

Paul

Manager
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Anandnk ur formula is good. Its easy to remember and saves time too. Thanks
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
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anandnk wrote:
I used the following formula

Total = G + T + N - B

B - Both tennis and Glof
G - Total Golf
T - Total Tennis
N - Neither

N = 18
30% dont know how to play tennis
so T = 70
Also 90% people who play tennis play golf as well
so B = 63

100 = G + 70 + 18 - 63
G = 75

Anandank,

This is a really old question with the answer already confirmed. Why are you responding to it now?
SVP
Joined: 30 Oct 2003
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Hmm,

I am just answering all the questions for practicing. I just thought of mentioning the formula. Many people who dont know this formula will learn it when they hit the question.
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