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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 5 : 8.
If 22 litre of coloured water is added to the mixture, the ratio becomes 3 : 7.
Find the initial quantity of sugar solution in the given mixture (in litres).

posted Sep 12, 2019 by Varun Kumar

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1 Answer

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(5x + 8x) + 22 = (3y + 7y)
13x + 22 = 10y
5x = 3y (The new mixture has only coloured water added to it)
y = (5/3)x
x = 6
Therefore the Initial sugar solution quantity is
5x = 5 × 6 = 30 litres.

answer Sep 12, 2019 by Tejas Naik



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