Final answer:
The final solution will have a milk-to-water ratio of 3:4, which means that the percentage of milk in the final solution is approximately 42.86%.
Step-by-step explanation:
To find the percentage of milk in the final solution, we need to track the changes in the amount of milk and water throughout the process.
Let's start with the original solution of milk and water in a ratio of 3:4. This means that for every 3 parts milk, there are 4 parts water. We can assume that the total amount of solution is 7 parts (3 parts milk + 4 parts water).
When 10L is removed and replaced with water, the new solution volume becomes 7L (original solution volume) - 10L (removed) + 10L (added) = 7L. The ratio of milk to water remains the same (3:4).
Next, 25% of the solution is removed and replaced with water. This means that 25% of 7L is replaced, which is 0.25 * 7L = 1.75L. The new solution volume becomes 7L (previous solution volume) - 1.75L (removed) + 1.75L (added) = 7L. The ratio of milk to water remains the same (3:4).
Finally, 30% of the solution is removed and replaced with water. This means that 30% of 7L is replaced, which is 0.3 * 7L = 2.1L. The new solution volume becomes 7L (previous solution volume) - 2.1L (removed) + 2.1L (added) = 7L. The ratio of milk to water remains the same (3:4).
Therefore, the final solution still has a milk-to-water ratio of 3:4, which means the percentage of milk in the final solution is 3/7 * 100% = 42.86% (rounded to 2 decimal places).