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# GRE Math Challenge #71-number of students in 3 economics

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Joined: 07 Jun 2014
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GRE Math Challenge #71-number of students in 3 economics [#permalink]  03 May 2015, 01:24
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Question Stats:

99% (00:08) correct 0% (00:00) wrong based on 7 sessions
The average (arithmetic mean) number of students in 3 economics classes at a certain college is 24. If the total number of students in 2 of the classes combined is 38, how many students are in the remaining class?

(A) 14
(B) 19
(C) 24
(D) 31
(E) 34
[Reveal] Spoiler: OA

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Sandy
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Re: GRE Math Challenge #71-number of students in 3 economics [#permalink]  12 Dec 2017, 12:51
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sandy wrote:
The average (arithmetic mean) number of students in 3 economics classes at a certain college is 24. If the total number of students in 2 of the classes combined is 38, how many students are in the remaining class?

(A) 14
(B) 19
(C) 24
(D) 31
(E) 34

Here Let x = number of students in the remaining classes

Total no. of students in the two classes = 38

Therefore we can write as = $$\frac{(38 + x)}{3} = 24$$

or 38 + x = 72

or x= 34 students in the remaining classes.
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Re: GRE Math Challenge #71-number of students in 3 economics   [#permalink] 12 Dec 2017, 12:51
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