Question

a bucket contains milk mixed with water of which 3 parts are water and 5 parts are milk .A part of the mixture is removed from the bucket and replaced by water. What portion of the mixtures should have been removed so that the new mixture contains milk and water in equal proportions.<br /><br />please answer with solution<br />its urgent please please please

Answer 1

let us assume that the quantity in bucket is 8m units. It has 3m water and the 5n milk.

Now let's assume we withdraw 8n units of the mixture and are replace them with the water.

when we are taking out 8n units of the mixture, we are actually taking out the 3n water and 5n milk.

We are adding the pure water into the bucket.

new quantity of milk= 5m - 5n

new quantity of water= 3m- 3n + 8n = 3m - 5n

they are equal to each other

5m - 5n= 3m + 5n

2m=10n

m/n= 2/10 = 1/5

8m/8n= 1/5