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Fresh grapes contain 90% by weight while dried grapes

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Location: Uzbekistan
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Fresh grapes contain 90% by weight while dried grapes  [#permalink]

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New post Updated on: 03 Sep 2012, 04:13
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A
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C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (01:56) correct 42% (01:59) wrong based on 273 sessions

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Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

A. 2 kg
B. 2.4 kg
C. 2.5 kg
D. 10 kg
E. none of these

Originally posted by feruz77 on 23 Nov 2010, 08:12.
Last edited by Bunuel on 03 Sep 2012, 04:13, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Proporatio question  [#permalink]

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New post 23 Nov 2010, 08:22
4
1
feruz77 wrote:
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
a) 2 kg
b) 2.4 kg
c) 2.5 kg
d) 10 kg
e) none of these


The weight of non-water in 20 kg of fresh grapes (which is 100-90=10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20=80% of whole weight), so \(20*0.1=x*0.8\) --> \(x=2.5\).

Answer: C.
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Manager
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Joined: 08 Oct 2010
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Location: Uzbekistan
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Re: Proporatio question  [#permalink]

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New post 23 Nov 2010, 08:19
Here is an official explanation how to solve this problem:

Let x kg dry grapes be obtained. Then, solid part in fresh grapes = solid part in dry grapes
0.1*20=0.8x*x
x=2,5

I do not find this explanation an approriate one because something must be wrong with 0.8x*x.

Can somebody suggest an alternative way of solution?
Thanks. My appreciations+KUDOS!!!
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Re: Proporatio question  [#permalink]

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New post 23 Nov 2010, 08:26
2
From the question we know: 20kg * 90% = 18kg of water in the fresh grapes

20kg - 18kg of water = 2kg of non-water mass

We are looking for the weight of the dry grapes (X).

Since the question tells us that 20% of the weight of the dry graps is water and we know that 2kg is non-water mass we can set up the following equation:

X = 1/5(X) + 2kg
4/5(X) = 2kg
X = 5/2 or 2.5 kg

I hope that helps!
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Re: Proporatio question  [#permalink]

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New post 03 Sep 2012, 04:11
feruz77 wrote:
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
a) 2 kg
b) 2.4 kg
c) 2.5 kg
d) 10 kg
e) none of these



another attempt to make this question easier to understand

question is asking what amount of dry grapes will yield mass of 2 kg

or
80 % of what = 2 kg

answer 2.5
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Re: Fresh grapes contain 90% by weight while dried grapes  [#permalink]

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New post 24 May 2019, 23:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Fresh grapes contain 90% by weight while dried grapes   [#permalink] 24 May 2019, 23:54
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