1. (2 points) Anya and Kolya were collecting apples. It turned out that Anya collected as many apples as the percentage of the total apples collected by Kolya, and vice versa, Kolya collected as many apples as the percentage of the total apples collected by Anya. How many apples did Anya collect and how many did Kolya collect?
Answer: 50 apples each.

Solution: If we add the two given conditions, it turns out that the total number of apples equals the total percentage. Therefore, Anya and Kolya collected a total of 100 apples. If one of them had collected more apples, they would have also collected more percentages. On the other hand, the condition states that the other would have collected more percentages. Therefore, both collected 50 apples each.