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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 :

A 551:48 Correct Answer Incorrect Answer
B 157:53 Correct Answer Incorrect Answer
C 4:1 Correct Answer Incorrect Answer
D 5:2 Correct Answer Incorrect Answer

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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