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# In college X, 40 percent of the women and 20 percent of the men are

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
In college X, 40 percent of the women and 20 percent of the men are  [#permalink]

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22 Feb 2018, 20:36
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Question Stats:

97% (02:00) correct 3% (02:20) wrong based on 61 sessions

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In college X, 40 percent of the women and 20 percent of the men are taking courses in mathematics. If 55 percent of the students at college X are women, what percent of all college X students take mathematics courses?

(A) 35

(B) 31

(C) 30

(D) 26

(E) 25

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In college X, 40 percent of the women and 20 percent of the men are  [#permalink]

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22 Feb 2018, 21:44
Bunuel wrote:
In college X, 40 percent of the women and 20 percent of the men are taking courses in mathematics. If 55 percent of the students at college X are women, what percent of all college X students take mathematics courses?

(A) 35

(B) 31

(C) 30

(D) 26

(E) 25

Let there be 100 students in college X.
Since 55% of the class is women, there are 55 women and 45 men in the class respectively.
Total students pursuing Mathematics is $$0.2*45 + 0.4*55 = 9 + 22 = 31$$

Therefore, the total students in college X who take the mathematics course is 31(Option B)
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Re: In college X, 40 percent of the women and 20 percent of the men are  [#permalink]

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23 Feb 2018, 02:11
Bunuel wrote:
In college X, 40 percent of the women and 20 percent of the men are taking courses in mathematics. If 55 percent of the students at college X are women, what percent of all college X students take mathematics courses?

(A) 35

(B) 31

(C) 30

(D) 26

(E) 25

let students = 100
women 55 40% = 22
men 45 20% = 9

22+9 = 31

(B) imo
Re: In college X, 40 percent of the women and 20 percent of the men are   [#permalink] 23 Feb 2018, 02:11
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