# Find the initial quantity of sugar solution in the given mixture (in litres).

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A mixture contains sugar solution and coloured water in the ratio 7 : 9.
If 13 litres of coloured water is added to the mixture, the ratio becomes 4 : 7.
Find the initial quantity of sugar solution in the given mixture (in litres).

posted Aug 20

7S:9C => initial mixture
4S1:7C1 => new mixture => 7S:(49C/4)
(49C/4) - 13 = 9C
C = 4.
ie., initial mixture has 36 litre of color water and 28 litres of sugar solution.

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