Question
Three containers have their volumes in the ratio 3: 4:
5, They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4: 1), (3: 1) and (5: 2)respectively. The contents of all these three containers are poured into a fourth container.The ratio of milk and water in the fourth container is :Solution
Let the volumes be 3x,4x,5x respectively.
Container with volume 3x,
Milk = [4/(4+1)] × 3x
Water = [1/(4+1)] × 3x
Container with volume 4x,
Milk = [3/(3+1)] × 4x
Water = [1/(3+1)] × 4x
Container with volume 5x,
Milk = [5/(5+2)] × 5x
Water = [2/(5+2)] × 5x
Total milk = 12x/5 + 12x/4 + 25x/7 = 1256x/140
Total water = 3x/4 + 4x/4 + 10x/7 = 424x/140
Ratio of milk to water in 4th container = 1256/424 =157:53
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