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Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

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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]

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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]

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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]

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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..

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.

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

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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]

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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]

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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..

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

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26 Apr 2014, 19:34

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What is 4x here? Why are you taking x to be ratio of 1st concentration? Do you mean to say that x is 4:9 because ratio of milk:water in first solution is given to be 4:9. So what quantity does 4x signify?

What you can say is that volume of 1st solution = x and volume of second solution = y

We know that Concentration of milk * Volume = Amount of milk So 4/13 * x = Amount of milk in solution 1 2/9 * y = Amount of milk in solution 2 Similarly for water.

\(\frac{(4/13)*x + (2/9)*y}{(9/13)*x + (7/9)*y} = \frac{2}{5}\) = Amount of milk in total solution/Amount of water in total solution

Re: Two vessels contain mixtures of milk and water in the ratio of 4:9 in [#permalink]

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03 Sep 2016, 23:27

Hello from the GMAT Club BumpBot!

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