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Fresh grapes contain 80% water by weight and raisins obtained by dryin

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Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 04:32
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  55% (hard)

Question Stats:

66% (02:07) correct 34% (02:04) wrong based on 182 sessions

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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
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Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 05:16
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alphonsa wrote:
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


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.
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Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 01 Sep 2014, 05:16
Bunuel wrote:
alphonsa wrote:
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


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.


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Hope this helps.
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Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 05 Apr 2018, 16:45
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Used weighted average formula

Wr/Wg= (100 - 80) / (80-25) = 4/11

(4/14) * X = 20

X=75

Answer A
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Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin  [#permalink]

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New post 11 Aug 2019, 20:07
3
alphonsa wrote:
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


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
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Re: Fresh grapes contain 80% water by weight and raisins obtained by dryin   [#permalink] 11 Aug 2019, 20:07
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