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alphonsa
Joined: 22 Jul 2014
Last visit: 25 Oct 2020
Posts: 106
Given Kudos: 197
Concentration: General Management, Finance
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy)
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Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
Posts: 106
01 Sep 2014, 04:32
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
66% (02:11) correct
34%
(02:23)
wrong
based on 769
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Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
A) 75 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs
Source: 4gmat
Please explain
A) 75 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs
Source: 4gmat
Please explain
01 Sep 2014, 05:16
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alphonsa
The weight of non-water in 20 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-80=20% of whole weight), so 20*0.75 = x*0.2 --> x = 75.
Answer: A.
11 Aug 2019, 20:07
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alphonsa
Let x = the number of kilograms of fresh grapes needed to obtain 20 kgs of raisins.
The amount of non-water material in x kgs of fresh grapes is 0.2x. The amount of non-water material in 20 kgs of raisins is 0.75*20 = (3/4)*20 = 15. Since the non-water material remains constant after drying fresh grapes to obtain raisins, we can create the following equation:
0.2x = 15
2x = 150
x = 75
Therefore, 75 kilograms of fresh grapes are needed in order to obtain 20 kgs of raisins after drying.
Answer: A
