Question

Two casks of 48 litres and 42 litres are filled with mixtures of milk and water; the proportions in the two casks being respectively, 13 : 7 and 18 : 17. if the contents of the two casks be mixed, and 20 litres of water be added to the whole, what will be the proportion of milk and water in the resulting mixture?

Answer 1

In 48ltr cask
13+7=20 so milk =48*13/20=31.2ltr
=water =48*7/20=16.8ltr
In 42 ltr cask
18+17=35 so milk =42*18/35=21.6ltr
Water =42*17/35=20.4ltr
Now both cask mixed and add 20ltr water so mixture =48+42+20=110
Now milk=31.2+21.6=52.8
Now water=16.8+20.4+20=57.2
Now ratio =52.8/57.2=12:13
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Answer 2

Answer:

Step-by-step explanation:

In 48ltr cask

13+7=20 so milk =48*13/20=31.2ltr

=water =48*7/20=16.8ltr

In 42 ltr cask

18+17=35 so milk =42*18/35=21.6ltr

Water =42*17/35=20.4ltr

Now both cask mixed and add 20ltr water so mixture =48+42+20=110

Now milk=31.2+21.6=52.8

Now water=16.8+20.4+20=57.2

Now ratio =52.8/57.2=12:13