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# 3/8 of the students in a school are male, and 3/5 of the male students

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
3/8 of the students in a school are male, and 3/5 of the male students  [#permalink]

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23 Jan 2019, 00:50
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:33) correct 33% (02:42) wrong based on 30 sessions

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3/8 of the students in a school are male, and 3/5 of the male students take calculus. If 1/4 of the female students take calculus, what fraction of the students at the school do not take calculus?

A 61/160

B 99/160

C 1/2

D 3/5

E 2/5

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Re: 3/8 of the students in a school are male, and 3/5 of the male students  [#permalink]

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23 Jan 2019, 01:12
Number of males in school = 3/8
Number of females in school = 5/8
Number of male students taking calculus = 3/5*3/8 = 9/40
Number of female students taking calculus = 1/4*5/8 = 5/32

Number of students who take calculus = 9/40+5/32 = 36+25/160 = 61/160
Number of students who donot take calculus = 1-61/160 = 99/160

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Re: 3/8 of the students in a school are male, and 3/5 of the male students  [#permalink]

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23 Jan 2019, 05:18
Bunuel wrote:
3/8 of the students in a school are male, and 3/5 of the male students take calculus. If 1/4 of the female students take calculus, what fraction of the students at the school do not take calculus?

A 61/160

B 99/160

C 1/2

D 3/5

E 2/5

solved using 2x2 matrix

IMO B
Re: 3/8 of the students in a school are male, and 3/5 of the male students   [#permalink] 23 Jan 2019, 05:18
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