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 volume of milk in the container after that is
Question
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 volume of milk in the container after that is
Solution
The problem involves a process of dilution that is repeated three times. Here's how to solve it:
- Start with 80 L of milk.
- In the first operation, 8 L of milk is removed, leaving 80 - 8 = 72 L of milk. The milk now makes up 72/80 = 90% of the total liquid in the container.
- The process is repeated, so in the second operation, 90% of the liquid is milk, so there is 0.9 * 80 = 72 L of milk left.
- In the third operation, again 90% of the liquid is milk, so there is 0.9 * 72 = 64.8 L of milk left.
So, after the process is repeated three times, there are approximately 64.8 L of milk left in the container.
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