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# In an acoustics class, 120 students are male and 100 students are fem

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
In an acoustics class, 120 students are male and 100 students are fem  [#permalink]

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10 Apr 2019, 23:30
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Difficulty:

25% (medium)

Question Stats:

68% (01:41) correct 32% (01:52) wrong based on 28 sessions

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In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

(A) 5%
(B) 10%
(C) 16%
(D) 22%
(E) 25%

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Joined: 01 May 2017
Posts: 82
Location: India
Re: In an acoustics class, 120 students are male and 100 students are fem  [#permalink]

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11 Apr 2019, 00:47
In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

(A) 5%
(B) 10%
(C) 16%
(D) 22%
(E) 25%

engineering Male students = 0.25*120 = 30
engineering female students = 0.2*100 = 20

engineering Male students passed = 0.2*30 = 6
engineering Male students passed = 0.25*20 = 5

Total engineering students passed = 11/220 = 5%

Option A is correct
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Re: In an acoustics class, 120 students are male and 100 students are fem  [#permalink]

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11 Apr 2019, 01:36
Bunuel wrote:
In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

(A) 5%
(B) 10%
(C) 16%
(D) 22%
(E) 25%

Male = 120 ; engr ; 30
Female= 100 ; engr; 20
--------- Engr------Pass-----fail----
male----- 30-------6-------24
female----20------5--------15
total------50------11-------39
total pass % of engr. 11/50 * 100 = 22%
IMO D
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Re: In an acoustics class, 120 students are male and 100 students are fem  [#permalink]

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11 Apr 2019, 01:36
Dare Devil
question has asked What percentage of engineering students passed the exam
you have calculated total % of class...

Dare Devil wrote:
In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

(A) 5%
(B) 10%
(C) 16%
(D) 22%
(E) 25%

engineering Male students = 0.25*120 = 30
engineering female students = 0.2*100 = 20

engineering Male students passed = 0.2*30 = 6
engineering Male students passed = 0.25*20 = 5

Total engineering students passed = 11/220 = 5%

Option A is correct
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Re: In an acoustics class, 120 students are male and 100 students are fem  [#permalink]

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13 Apr 2019, 19:04
Bunuel wrote:
In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

(A) 5%
(B) 10%
(C) 16%
(D) 22%
(E) 25%

0.25 x 120 = 30 male engineering students.

0.2 x 100 = 20 female engineering students.

0.2 x 30 = 6 male students passed, and 0.25 x 20 = 5 female students passed.

The percentage of engineering students who passed the exam was 11/50 = 22/100 = 22%.

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Re: In an acoustics class, 120 students are male and 100 students are fem   [#permalink] 13 Apr 2019, 19:04
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