Question
In 100 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 5:3, respectively. (2x + 18.6) litres of milk and 39 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 40% more than that of water in it. Find the value of ‘x’.Solution
Initially, Quantity of milk in the mixture = 100 × (5/8) = 62.5 litres Quantity of water in the mixture = 100 – 62.5 = 37.5 litres According to the question, 1.40 × (37.5 + 39) = 62.5 + 2x + 18.6 => 107.1 = 81.1 + 2x => x = 13
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