Question

A container contains 40 liters of milk. From this container, 4 liters of milk were taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

Answer 1

After repeating a process of removing 4 liters of milk and replacing it with water three times from an initial 40 liters of milk, the container finally contains 29.16 liters of milk.

Step-by-step explanation:

The student has conducted a process where 4 liters of milk are removed from a container and replaced with water, and this process is repeated two more times. To calculate how much milk remains after each step, we use the concept of percentages.

Initially, there are 40 liters of milk. When 4 liters are taken out, 10% of the milk is removed (as 4 liters is 10% of 40 liters), leaving 90% of the milk in the container. After the first replacement, there are 40 * 0.9 = 36 liters of milk left. In the second step, we again take away 10% of 36 liters, which is 3.6 liters, so 36 - 3.6 = 32.4 liters of milk remain.

Finally, the third process repeats this, taking away 10% of 32.4 liters, which is 3.24 liters, leaving 32.4 - 3.24 = 29.16 liters of milk. The final amount of milk in the container after three replacements is 29.16 liters.