Question
Mixture A has juice and water in a ratio of 3:5, while
mixture B has juice and water in a ratio of 5:4. If these two mixtures are combined in a 2:3 ratio (A to B), what will be the ratio of juice to water in the final mixture?Solution
Let, the total quantity of mixture ‘A’ and mixture ‘B’ be ‘24x’ litres and ‘36x’ litres, respectively.
So, the sum of quantity of juice in mixture ‘A’ and mixture ‘B’ = (3/8) × 24x + (5/9) × 36x
= 9x + 20x = ‘29x’ litres
Sum of quantity of water in mixture ‘A’ and mixture ‘B’ = (24x + 36x) – 29x = 60x – 29x = ‘31x’ litres
So, the required ratio = 29x:31x = 29:31
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