Problem 7.3. The Smeshariki Kros, Yozhik, Nyusha, and Barash ate a total of 86 candies, and each of them ate no fewer than 5 candies. It is known that:

- Nyusha ate more candies than each of the other Smeshariki;
- Kros and Yozhik together ate 53 candies.

How many candies did Nyusha eat
Answer: 28.

Solution. Krosh or Yozhik ate at least 27 candies (otherwise, they would have eaten no more than $26+26=52$ candies in total), so Nusha ate at least 28 candies. Considering that Barash ate at least 5 candies, we get that all of them together ate at least $53+28+5=86$ candies. Therefore, this is only possible if Nusha ate exactly 28 candies, and Barash exactly 5 candies.