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# In a certain school, 50 percent of all male students and 60 percent of

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Math Expert
Joined: 02 Sep 2009
Posts: 55639
In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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07 Jan 2019, 04:13
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:36) correct 14% (01:43) wrong based on 54 sessions

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In a certain school, 50 percent of all male students and 60 percent of all females students play a varsity sport. If 40 percent of the students at the school are male, what percent of the entire student body DO NOT play a varsity sport?

A. 44%
B. 50%
C. 55%
D. 56%
E. 60%

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Re: In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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07 Jan 2019, 04:23
Bunuel wrote:
In a certain school, 50 percent of all male students and 60 percent of all females students play a varsity sport. If 40 percent of the students at the school are male, what percent of the entire student body DO NOT play a varsity sport?

A. 44%
B. 50%
C. 55%
D. 56%
E. 60%

can be solved using 2x2 matrix grid

Male Female Total

Varsity 20 36 56
N Var 20 24 44
40 60 100
IMO A 44%
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Intern
Joined: 19 Jan 2018
Posts: 2
GMAT 1: 610 Q44 V30
Re: In a certain school, 50 percent of all male students and 60 percent of  [#permalink]

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07 Jan 2019, 04:46
1
1
Not sport male out of total = $$\frac{1}{2}*\frac{2}{5} = \frac{1}{5}$$
Not sport women out of total = $$\frac{2}{5}*\frac{3}{5} = \frac{6}{25}$$

Together: $$\frac{11}{25} = \frac{44}{100}$$, answer (A)
Re: In a certain school, 50 percent of all male students and 60 percent of   [#permalink] 07 Jan 2019, 04:46
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