Multiple choice

40 litres of milk are kept in a container. 4 litres of milk were removed from this container and replaced with water. This procedure was performed two more times. How much milk does the container now hold?

  1. 30 litres

  2. 34.23 litres

  3. 29.16 litres

  4. 32 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the formula for replacement: Final amount = Initial * (1 - removed/Initial)^n. Here, 40 * (1 - 4/40)^3 = 40 * (0.9)^3 = 40 * 0.729 = 29.16.

AI explanation

The formula for the remaining quantity of pure liquid after repeated replacement is Initial Volume x (1 - Replaced Volume / Total Volume)^n. For this container, the calculation is 40 x (1 - 4/40)^3. This simplifies to 40 x (9/10)^3, resulting in 40 x 729/1000, which equals 29.16 liters of milk.

Keep practicing — related questions