Question

From a solution of milk and water, 70litres is taken out and replaced with water, then the milk and water ratio becomes 8:7. If 140 litres would have been replaced with water, then ratio would be 5:7. Find water quantity in initial?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

In this sum it will be better to replace water with milk and milk with water.

So a mixture of 30 litres contain water and milk in the ratio 7:3. How much milk should be added to it so that the ratio of water and milk becomes 3:7

Qty. Of water in 30 litres = (7/10)× 30= 21 litres

So the qty. Of milk in 30 litres = 30 - 21 = 9 litres

Let the quantity of milk to be added to make the ratio of water and milk in the ratio 3:7.

Then 21/(9+x) = 3/7. Taking cross products

3(9+x) = 21×7 => 27+3x = 147 => 3x = 147 - 27

=> 3x = 120 => x = 120/3 = 40.

So 40 litres of milk should be added.