Question
In 84 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 5:2, respectively. (2x + 4) litres of milk and 51 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 44% more than that of water in it. Find the value of ‘x’.Solution
Initially, Quantity of milk in the mixture = 84 × (5/7) = 60 litres Quantity of water in the mixture = 84 – 60 = 24 litres According to the question, 1.44 × (24 + 51) = 60 + 2x + 4 => 108 = 64 + 2x => x = 22
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