Multiple choice

A milkman has 25 liters of milk. He removes 5 liters of milk and adds 5 liters water. This operation is repeated once more. How many liters of milk is there in the resultant solution?

  1. 15 liters

  2. 16 liters

  3. 18 liters

  4. 20 liters

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial milk = 25. After 1st op: 25 * (20/25) = 20 liters. After 2nd op: 20 * (20/25) = 20 * 0.8 = 16 liters.

AI explanation

According to the mixture replacement formula, the final amount of milk equals the initial amount multiplied by the fraction of milk retained raised to the number of operations. The initial amount is 25 litres, the fraction retained after removing 5 litres is 20/25, which is 4/5, and the process is repeated twice. Therefore, the final amount of milk is 25 multiplied by 4/5 squared, which is 25 multiplied by 16/25, giving 16 liters.