There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk…
There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?
m = n
m > n
m < n
Cannot be determined due to insufficient data
Solution
After transferring 20 ml milk from X to Y, container Y has 120 ml (100 water + 20 milk). Returning 20 ml of this mixture (containing 3.33 ml milk and 16.67 ml water) to X: X now has 80 + 3.33 = 83.33 ml milk, and Y has 83.33 ml water. So the amount of milk in X equals the amount of water in Y, hence m = n.