Question
Mixture 'A' contains milk and water in the ratio of
5:9, respectively, while Mixture 'B' consists of water and milk in the ratio of 11:14, respectively. The task is to determine the ratio in which these two mixtures must be combined so that the resulting mixture has an equal amount of milk and water.Solution
Proportion of milk in mixture 'A' = 5 ÷ (5 + 9) = (5/14) Proportion of milk in mixture 'B' = 14 ÷ (11 + 14) = (14/25) Proportion of milk in resultant mixture = 1 ÷ (1 + 1) = (1/2) Using alligation rule,
So, required ratio = (3/50):(1/7) = 21:50
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