After four turnovers, the amount of unfiltered water reduces to what percentage?

To understand the correct percentage of unfiltered water remaining after four turnovers, it is important to know how the turnover rate affects water filtration in a pool system. A turnover refers to the complete circulation of the water in the pool through the filtration system.

When dealing with tangible amounts of unfiltered water, each complete turnover reduces the remaining unfiltered volume. For instance, if you begin with 100% unfiltered water in the pool, after one turnover, you may only retain a portion of that unfiltered water—as the filtration system removes a certain percentage with each circulation.

The key factor in this context is that the unfiltered water reduces exponentially with each turnover, typically by a fixed fraction. In this case, we can assume for practical purposes that each turnover effectively filters a significant amount of water, leaving a diminishing percentage afterward.

Calculating the remaining unfiltered water mathematically is done using a method similar to taking a percentage based on the turnovers:

• After the first turnover, let's say it reduces to 50% unfiltered (for understanding).

• After the second turnover, this remaining amount is then halved again, leading to 25%.

• Continuing this process leads to diminishing returns, and by the fourth turnover, the percentage effectively reduces to