Question

A vessel was full of milk weighing 36 litre. After drawing 9 litre of milk
it was filled with 9 litre of water. After drawing 9 litre of the mixture
the vessel was again filled with water; this process was repeated 3 times
more. Find the ratio of milk to water in the final mixture.
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Answer 1

Answer:

Milk=60 litre

Only Milk was there.

Step 2

Milk=60-12 =48 litre

Water =12 litre

Now,a mixture is created with 4:1 ratio of milk and water.

Means 4/5 part Milk and 1/5 part of Water.

Step 3

Removing 12 litres of mixture means

removing Milk=12×4/5 part=48/5 part

And removing water=12×1/5 part =12/5 part.

So,removing 12 litre of mixture and addition of 12 litre water gives the result as—

Milk=48 - 48/5 = 48×4/5=192/5 litre.

Water=12 - 12/5 + 12 = 24 - 12/5 =12×9/5 =108/5 litre.

Here,ratio =192/5 : 108/5 =192/108=16/9 Ans.