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Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and

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Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and  [#permalink]

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08 Jun 2018, 23:07
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Difficulty:

15% (low)

Question Stats:

96% (01:02) correct 4% (01:13) wrong based on 39 sessions

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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

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Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and  [#permalink]

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09 Jun 2018, 00:01
Bunuel wrote:
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

The proportion of boys to girls in the class are 12:8 or 3:2

We are given the average weight of the boys and girls are 80 and 70 pounds,

Therefore, the average weight of the class is $$\frac{3*80 + 2*70}{5} = \frac{380}{5} = 76$$(Option D)

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Re: Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and  [#permalink]

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09 Jun 2018, 00:12
Avg weight of 20 students = ( 12 x 80 + 8 x 70 ) / 20 = 76.
Option D
Re: Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and &nbs [#permalink] 09 Jun 2018, 00:12
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