Question
55 litres of a solution contains alcohol and water in
the ratio 2:3. Water is added in the solution. The new mixture has a ratio of alcohol and water as 1:5. Find the quantity of water added.Solution
Let initial quantity of alcohol and water be 2x and 3x. ⇒  2x + 3x = 55 ⇒  5x = 55 ⇒  x = 11 Initial quantity of alcohol = 2x ⇒  22 litres Initial quantity of water = 3x ⇒  33 litres Let the water to be added be x litres. 22/(33 + x) = 1/5 ⇒  110 = 33 + x ⇒  77 = x Therefore, quantity of water added is 77 litres.
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