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What percent of the drama club members enrolled at a certain

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SVP
SVP
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What percent of the drama club members enrolled at a certain [#permalink] New post 19 Jul 2004, 18:46
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E

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  5% (low)

Question Stats:

88% (01:50) correct 12% (00:55) wrong based on 67 sessions
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What percent of the drama club members enrolled at a certain school are female students?

(1) Of the female students enrolled at the school, 40 percent are members of the drama club.
(2) Of the male students enrolled at the school, 25 percent are members of the drama club.

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Director
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 [#permalink] New post 19 Jul 2004, 23:24
Agree with Ian.. (E)..

We have to find (female drama club members(fdcm) / (Total drama club members(tdcm))
= fdcm / (fdcm + mdcm)

Let 100 Total student
m - male
f - female
f + m = 100 ... 1
1 says : fdcm = 0.4f INSUFFICIENT
2 says : mdcm = 0.25m INSUFFICIENT

Combining : INSUFFICIENT.. (Two variables... 1 equatiton..)

(E)
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 [#permalink] New post 14 Dec 2007, 08:08
E.

We can't say until we know the ratio of female:male students at the school.

As it stands there could 1,000 females and 500 males or 4 females and 5,000 males.

Until we get the numbers (or at least a ratio) there's no way to tell.

now if you assume that the number of females at school = number of males

200 students
100 females and 100 males

40% of 100 females = 40 females in drama
25% of 100 males = 25 males in drama

40/65 = 8/13 = ~60%
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Re: Percent of drama club members? [#permalink] New post 10 Aug 2009, 18:16
Let m be the total number of male students and f be the total number of female students in the school.
Number of female students who are part of drama club = .4f
Number of male students who are part of drama club = .25m
Number of drama club members who are females = .4f/(.4f + .25m)
As values of m and f are not known, the value of the above expression cannot be determined.
So answer is E.
Senior Manager
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Re: Percent of drama club members? [#permalink] New post 10 Aug 2009, 18:52
You are right, OA is E
Re: Percent of drama club members?   [#permalink] 10 Aug 2009, 18:52
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