Multiple choice

Choose the correct answer from the alternatives given. A container has $80$ L of milk. From this container $8$ L of milk was taken out and replaced by water. The process was further repeated twice. The value of milk in the container after that is

  1. $85.32$ L
  2. $58.23$ L
  3. $85.23$ L
  4. $58.32$ L
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The formula for the amount of milk remaining after n replacements is M = Initial * (1 - r/V)^n. Here, M = 80 * (1 - 8/80)^3 = 80 * (0.9)^3 = 80 * 0.729 = 58.32 L.

AI explanation

Using the formula for repeated replacement, the final quantity of milk is calculated as Initial Amount times (1 minus Replaced Amount divided by Initial Amount) raised to the power of the number of operations. This gives 80 multiplied by the fraction of 72 divided by 80, cubed, simplifying to 80 multiplied by 729 thousandths. Multiplying these values yields a final milk quantity of 58.32 L.

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