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Fresh dates contain 90% water while dry dates contain 28%

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Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 28 Nov 2012, 09:13
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Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Nov 2012, 09:19, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 28 Nov 2012, 09:30
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prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg


36 kilograms of fresh dates contain 0.1*36=3.6 kilograms of non-water.

Dry dates obtained from these fresh dates will contain the same amount of non-water and we are told that this amount should be 72% of the dry dates, thus x*0.72=3.6 --> x=5 kilograms.

Answer: A.

Similar questions to practice:
each-of-the-cucumbers-in-100-pounds-of-cucumbers-is-composed-102354.html
five-kilograms-of-oranges-contained-98-of-water-141401.html

Hope it helps.
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 02 May 2013, 12:42
prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg


I am very much interested to know how this question be done with alligation method ? I tried, but i am missing some elements.

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Vinni
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 02 May 2013, 21:03
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prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg


Given information can be rephrased as " Fresh dates contain 10% fruit while dry dates contain 72% fruit"

Hence 36 Kg of fresh dates contain 10% of 36 = 3.6 Kg of fruit.
This same amount of fruit is present after the dates are dried.
If we assume the mass of the dry dates obtained as x Kg, then 72% of x = 3.6
0.72*x = 3.6
Hence x = 5 Kg
Option A is the correct answer :)
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 03 May 2013, 05:09
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prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg


Responding to a pm:

Personally, I would use the method used by Bunuel above. But if you insist on using the "alligation method" which we call "scale method", here is how you can do it:

What two things are mixed to give the third?
Dry dates are mixed with water to give fresh dates.

Dry dates have 28% water, water is 100% water and fresh dates have 90% water.

Dry dates/water = w1/w2 = (A2 - Aavg)/(Aavg - A1) = (100 - 90)/(90 - 28) = 10/62 = 5/31
Mixing 5 kg of dry dates with 31 kg (to maintain consistency) of water will give you 36 kg of fresh dates.

Answer 5 kg
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 14 Jul 2013, 00:02
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Fresh dates 36 kg = 90% water and 10% pure dates part. So pure dates part= 36 *0.1= 3.6 kg pure date.
Dry dates say x kg = 28% water and 72% pure dates part. So pure dates part= x *0.72= 0.72x kg pure date.

Equate the pure dates part only, since that quantity is same in both mixture,so 0.72 x = 3.6
x= 3.6/0.72 = 360/72 = 5 kg. Ans A
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 21 Jul 2013, 00:59
why can't i resolve this problem by putting together these 2 equations:
1 F=0.9W
2 D=0.28W

D= (0.28F)/0.9

i don't understand what is my error :(
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 21 Jul 2013, 01:49
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lucasITA wrote:
why can't i resolve this problem by putting together these 2 equations:
1 F=0.9W
2 D=0.28W

D= (0.28F)/0.9

i don't understand what is my error :(


Because both equations are wrong. Should be:

W=F*0.1 --> W=36*0.1=3.6 kilograms.
W=D*0.72 --> 3.6=D*0.72 --> D=5 kilograms.

For more check here: fresh-dates-contain-90-water-while-dry-dates-contain-143245.html#p1148409 and here: fresh-dates-contain-90-water-while-dry-dates-contain-143245.html#p1220200

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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 21 Jul 2013, 02:34
prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg



1. Non-water percentage of fresh grapes and dry grapes are 10% and 72% resp i.e., 7.2 times more in the dry grapes
2. So from 36 kg fresh grapes we can obtain 36/7.2 = 5 kg of dry grapes.
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 23 Jul 2014, 08:53
prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg

Just wanted to chip in my 2 cents for the question…

Since a fresh date is 10% non-water and a dry date is 72% non-water then the ratio of non-water for the dry date to the non-water for the fresh date is 10/72 or 5/36. Meaning that for every 36 units of non-water in a fresh date there is 5 units of non-water in the dry date. Hence A
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Re: Fresh dates contain 90% water while dry dates contain 28% [#permalink] New post 23 Jul 2014, 21:32
Weight of elements in 36 kg (fresh dates) water=32.4 kg, other- 3.6 kg
To make dry dates out of it some water has to be removed . Let it be x.
Weight (dry dates) water = 32.4 -x, other - 3.6 kg
Proportion of elements(dry dates) water = 28, other -72

(32.4 -x) / 3.6 = 28/72

From which we can find weight of water to be 1.4 kg and therefore total weight of dry dates = 5 kg.
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Re: Fresh dates contain 90% water while dry dates contain 28%   [#permalink] 23 Jul 2014, 21:32
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