CBSE Class 10 Answered

Let's assume L lit of first and M lit of second mixture is to be taken to prepare the third mixture.

In first mixture we have 24 lit of milk / 30 lit of mixture, hence fraction of milk in first mixture = 24/30

and fraction of water, 6/30.

Let's take a milk balance,

(fraction of milk in first mixture)(amount of first mixture) + (fraction of milk in second mixture)(amount of second mixture) = amount of milk in third mixure.

24L/30 + 15M/25 = 25

4L + 3M = 125 ..........(1)

Taking a water balance,

6L/30 + 10M/25 = 10

L + 2M = 50

or 4L + 8M = 200....(2)

Solving (1) and (2) we find,

L = 20 lit and M = 15 lit.

Hence 20 lit of first mixture and 15 lit of second mixture should be taken separately.

Regards,

Team,

TopperLearning.