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# Mr. Choudury’s fourth-grade class consists of 20 students:

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

Mr. Choudury’s fourth-grade class consists of 20 students: [#permalink]  27 May 2018, 03:49
Expert's post
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Question Stats:

50% (00:00) correct 50% (00:00) wrong based on 2 sessions
Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and 8 girls. If the boys weigh an average of 80 pounds each and the girls weigh an average of 70 pounds each, what is the average weight, in pounds, of all 20 students?

(A) 71
(B) 74
(C) 75
(D) 76
(E) 79
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

Re: Mr. Choudury’s fourth-grade class consists of 20 students: [#permalink]  27 May 2018, 12:56
Expert's post
Explanation

The most straightforward approach is to determine the total weight of all 20 students, and divide that total by 20:

12 boys × 80 pounds per boy = 960 pounds
8 girls × 70 pounds per girl = 560 pounds

Total = 1,520 pounds

$$\frac{1520}{20}=76$$

Alternatively, many or even most GRE multiple-choice weighted average problems have the same five answers:

Much closer to the lesser value
A little closer to the lesser value
The unweighted average of the two values
A little closer to the greater value
Much closer to the greater value

Any of these five choices could be correct, but the correct answer is usually “a little closer to the lesser value” or “a little closer to the greater value.” In this case, because there are a few more boys than girls, the avergae for the whole class will be a little closer to the boys’ average weight than to the girls’.
_________________

Sandy
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Re: Mr. Choudury’s fourth-grade class consists of 20 students:   [#permalink] 27 May 2018, 12:56
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# Mr. Choudury’s fourth-grade class consists of 20 students:

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