Question
In 81 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 4:5, respectively. (3x + 11) litres of milk and 25 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 = 81 × (4/9) = 36 litres Quantity of water in the mixture = 81 – 36 = 45 litres According to the question, 1.40 × (45 + 25) = 36 + 3x + 11 => 98 = 47 + 3x => x = 17
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