Question
In 90 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 7:3, respectively. (5x + 10) litres of milk and 33 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 = 90 × (7/10) = 63 litres Quantity of water in the mixture = 90 – 63 = 27 litres According to the question, 1.40 × (27 + 33) = 63 + 5x + 10 => 84 = 73 + 5x => x = 2.2
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