Question

the ratio of milk and water is 7:2 in a miz of 72.9 litres .How much water should be added to make the ratio 7:3​

Answer 1

Answer:

Step-by-step explanation:

Let the rational between milk and water be x

The ratio of milk and water in the mixed liquid of 72.90 litres is 7 : 2.

Thus the amount of milk will be 7x and water 2x

Now 7x + 2x = 72.90

9x = 72.90

x = 72.90/9

x = 8.1

Thus the amount of milk and water will be

Milk 7x = 7 × 8.1= 56.7 litres

Water 2x = 2 × 8.1= 16.2 litres

How much more water must be added so as to make the ratio 7:3

Let ‘m’ litre water to be added. After addition of water the ratio becomes 7: 3. After addition of the water the

Milk = 56.7 litres

Water will be 16.2 litres + m.

The ratio of milk and water in new mixture

56.7 / 16.2 litres + m = 7/ 3

Cross multiplication

7 (16.2 litres + m) = 56.7 ×3

113.4 + 7m = 170.1

7m = 170.1+ 113.4

7m = 283.5

m = 283.5/7

m = 40.5 litres

Thus the amount of 40.5 litres water to be added

Answer the amount of 40.5 litres water to be added to make the ratio 7 : 3