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.
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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