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Two vessels contain mixtures of milk and water in the ratio of 4:9 in

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Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 16 Aug 2011, 16:16
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Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 16 Aug 2011, 22:07
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maheshsrini wrote:
Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.


By just considering milk from the total parts:

I guess it should be the reciprocal of:
\frac{\frac{4}{13}-\frac{2}{7}}{\frac{2}{7}-\frac{2}{9}}
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 16 Aug 2011, 23:30
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Let 1st vessel contains X liters of mixture of milk and water.
Milk in 1st vessel = 4/13x
Water in 1st vessel=9/13x
Let 2nd vessel contains Y liters of mixture of milk and water
Milk in 2nd vessel = 2/9y
Water in 2nd vessel =7/9y
Let the two mixture combine such that the milk to water ratio is 2:5
4x/13 + 2y/9 / 9x/13 +7/9y =2/5
36x+26y/81x+91y=2/5
180x+130y=162x+182y
18x=52y
x/y=26/9
Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 17 Aug 2011, 05:32
jamifahad wrote:
Let 1st vessel contains X liters of mixture of milk and water.
Milk in 1st vessel = 4/13x
Water in 1st vessel=9/13x
Let 2nd vessel contains Y liters of mixture of milk and water
Milk in 2nd vessel = 2/9y
Water in 2nd vessel =7/9y
Let the two mixture combine such that the milk to water ratio is 2:5
4x/13 + 2y/9 / 9x/13 +7/9y =2/5
36x+26y/81x+91y=2/5
180x+130y=162x+182y
18x=52y
x/y=26/9
Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5



well..i get ur method..but a quick stupid ques...y didn't u take Milk as x & Water as y in both the vessels..
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 18 Aug 2011, 02:05
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DeeptiM wrote:
jamifahad wrote:
Let 1st vessel contains X liters of mixture of milk and water.
Milk in 1st vessel = 4/13x
Water in 1st vessel=9/13x
Let 2nd vessel contains Y liters of mixture of milk and water
Milk in 2nd vessel = 2/9y
Water in 2nd vessel =7/9y
Let the two mixture combine such that the milk to water ratio is 2:5
4x/13 + 2y/9 / 9x/13 +7/9y =2/5
36x+26y/81x+91y=2/5
180x+130y=162x+182y
18x=52y
x/y=26/9
Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5



well..i get ur method..but a quick stupid ques...y didn't u take Milk as x & Water as y in both the vessels..

Because the volume of milk and water in the two vessels is not the same. The volume of the mixture in the two vessels is not the same too. If you are getting confused with variables, try fluke's method. It is quick and clean.

I have discussed a similar question here: http://www.veritasprep.com/blog/2011/04 ... -mixtures/
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 08 Oct 2011, 16:41
Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 09 Oct 2011, 02:09
What is the original Answer?
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 09 Oct 2011, 02:26
maheshsrini wrote:
Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?


Is the volume of both vessels are same?
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 10 Oct 2011, 03:02
gopu106 wrote:
maheshsrini wrote:
Two vessels contain mixtures of milk and water in the ration of 4:9 in the 1st vessel and 2:7 in the 2nd vessel. In what ratio should the contents of these two vessels be mixed such that the resultant mixture has milk and water in the ratio of 2:5?


Is the volume of both vessels are same?


no it's not same...since volume of milk and water in the vessels is not same..

You can solve this using alligation technique :

{2/7 -2/9 } / {4/13 - 2/7 } = 26/9.
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 11 Oct 2011, 22:52
hey


Can u guys explain why is this approach wrong ?

x units of mixture 1
y units of mixture 2

4x+2y / ( 9x+7y ) = 2/ 5

by this way , the prop is 2 :1
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 12 Oct 2011, 03:43
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4X/13 +2Y/9=2/7(X+Y)
solving it , we have - X/Y=26/9
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 26 Apr 2014, 19:34
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Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink] New post 30 Aug 2014, 13:07
hi , i'm trying the allegation method, can someone tell me where i'm wrong?


Vessel 1-----------------Vessel 2

4/9-----------------------2/7

--------------2/5-------------

4/35----------------------2/45

result : Vessel 1 / Vessel 2 = 18/7
Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in   [#permalink] 30 Aug 2014, 13:07
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