Multiple choice

A container contained 80 kg of milk. From this container, 8 kg of mixture was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container?

  1. 48 kg

  2. 56 kg

  3. 58.32 kg

  4. 59.46 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Remaining milk = Initial * (1 - removed/total)^n = 80 * (1 - 8/80)^3 = 80 * (0.9)^3 = 80 * 0.729 = 58.32 kg.

AI explanation

Apply the formula for repeated replacement: Final Amount = Initial Amount * (1 - Replaced Amount / Initial Amount)^n. Here, the values are Initial Amount = 80 kg, Replaced Amount = 8 kg, and n = 3 (since the process happened once and was repeated twice). This gives 80 * (1 - 8/80)^3 = 80 * (9/10)^3 = 80 * 729/1000 = 58.32 kg. The container now holds 58.32 kg of milk.

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