Question 47

In Jar A, 180 litre milk was mix with 36 litre water. Some of this mixture was taken out from Jar A and put it in Jar B. If after adding 6 litres of water in the mixture, the respective ratio between milk and water in Jar B was 5 : 2 respectively, what was the amount of mixture that was taken out from Jar A ? (in litres)

Solution

The ratio of milk to water in Jar X

= 180 : 36 = 5:1

Now, let 6x litres of mixture be taken out from Jar X and put in Jar Y.

Then, milk in Jar Y = 5x

Water in Jar Y= x

So, 5x/(x+6) = 5/2

or, 10x=(5x + 30)

or, 5x=30,

:. x=6

Hence the mixture that was taken out from Jar X = 6x =6 × 6 = 36 litres

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