Question

A mixture contains milk and water in the ratio 8:5, respectively. 32 litres of milk is added to the mixture such that quantity of water becomes 37.5% of the quantity of milk. Find the initial quantity of milk in the mixture.​

Answer 1

Answer:

58 litres of milk

Step-by-step explanation:

A mixture contains milk and water in the ratio 8:5

let's take 8x ,5x

32 litres of milk is added to the mixture such that quantity

M W

8x : 5x

32+8X : 37.5% of (32+8x)

we have to find x ,so we have to equate water initial and final

5x = 37.5% of (32+8x)

5x = 3/8 * (32+8x)

40x = 96 + 24x

16x = 96

x= 6

substitute x value in initial value ratio

8x = 8*6 = 58 litres of milk