Question
In a mixture, the ratio of milk to water is 4:5. If the
mixture is augmented by adding 12 liters of milk and 20 liters of water, the new ratio of milk to water changes to 3:4. Determine the original quantity of the mixture.Solution
Let quantity of milk and water in the initial mixture be ‘4x’ litres and ‘5x’ litres, respectively. According to the question, (4x + 12)/(5x + 20) = 3/4 Or, 16x + 48 = 15x + 60x Or, x = 12 Quantity of initial mixture = (4 + 5) × 12 = 108 litres
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