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Jug contains water and orange juice in the ratio 5:7 . anoth

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Re: Jug contains water and orange juice in the ratio 5:7 . anoth [#permalink]

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New post 21 Apr 2014, 21:21
Quantity of Orange Juice in

Jug 1 \(= \frac{7}{12}\)

Jug 2 \(= \frac{2}{9}\)

Requirement in the mixture\(= \frac{4}{7}\)

Using Alligation method

\(\frac{\frac{4}{7} - \frac{2}{9}}{\frac{7}{12} - \frac{4}{7}}\)

\(= \frac{88}{3}\)
Answer = C
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Re: Jug contains water and orange juice in the ratio 5:7 . anoth [#permalink]

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New post 02 May 2014, 03:29
Hello ,

Can someone please show how to do this problem by allegation :?:
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New post 02 May 2014, 19:08
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gauravsoni wrote:
Hello ,

Can someone please show how to do this problem by allegation :?:


This solution: jug-contains-water-and-orange-juice-in-the-ratio-5-7-anoth-111775.html#p904568
and many others are based on alligation
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Re: Jug contains water and orange juice in the ratio 5:7 . anoth [#permalink]

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Re: Jug contains water and orange juice in the ratio 5:7 . anoth [#permalink]

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New post 16 Sep 2016, 20:29
My 2 cents:
Mixture 1: w:o = 5:7 => w:t = 5:12
Mixture 2: w:o = 7:2 => w:t = 7:9
Final mixture: w:o = 3:4 => w:t = 3:7
x*(5/12) + (1-x)*(7/9) = 3/7
5x/12 + 7/9 - 7x/9 = 3/7
15x + 28 - 28x/(2*2*3*3) = 3/7
28 - 13x/(2*2*3*3) = 3/7
196 - 91x = 108
88 = 91x
x = 88/91 & (1-x) = 3/91
x:(1-x) = 88:3
Re: Jug contains water and orange juice in the ratio 5:7 . anoth   [#permalink] 16 Sep 2016, 20:29

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Jug contains water and orange juice in the ratio 5:7 . anoth

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