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14 Jun 2024, 19:49
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:24) correct
11%
(01:51)
wrong
based on 267
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Of the boxes of pasta in a certain shipment, 60 percent weighed n pounds each and the rest weighed 3n pounds each. The total weight of the boxes that weighed 3n pounds each was what fraction of the total weight of the boxes in the shipment?
A. 1/3
B. 1/2
C. 3/5
D. 2/3
E. 4/5
Source: Gmat Focus Prep
A. 1/3
B. 1/2
C. 3/5
D. 2/3
E. 4/5
Source: Gmat Focus Prep
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14 Jun 2024, 20:19
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60% of boxes weighed n pounds —> 3n/5
40% (The rest) weighed 3n pounds —> 2/5(3n) = 6n/5
Total weight: 3n/5 + 6n/5 = 9n/5
Total weight of boxes weighing 3n pounds / total weight of all boxes =
6n/5 / 9n/5 ——> 6n/5 x 5/9n = 6/9, which reduces to 2/3
Option D
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40% (The rest) weighed 3n pounds —> 2/5(3n) = 6n/5
Total weight: 3n/5 + 6n/5 = 9n/5
Total weight of boxes weighing 3n pounds / total weight of all boxes =
6n/5 / 9n/5 ——> 6n/5 x 5/9n = 6/9, which reduces to 2/3
Option D
Posted from my mobile device
17 Jun 2024, 11:11
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Assuming that we have 100 boxes you would end with 60 boxes that weights "n" pounds, which means that the weight would be 60n pounds, then you do the same for the other part. You're left with 40 boxes with a weight of 3n pound, meaning that the weight of this part would be 120n. Therefore the total weight of this shipment would be 180n. To know the fraction of the pasta that weight 3n just divide this quantity with the total weight, which would be 120n/180n resulting in 2/3 which is the final answer, Option D.
