7.1. In the first grade, there are more than 10 but fewer than 15 children. On New Year's morning, Father Frost came to them with a bag of candies and distributed them equally to everyone, and found that he had 9 candies left. How many candies did each child receive if there were initially 207 candies in the bag?
Solution. 207-9=198 candies were given out by Father Frost. 198=18$\cdot$11 - factorization taking into account that one of the factors meets the condition of being between 10 and 15. Therefore, 11 children received 18 candies each.

Answer: 18 candies.

## Criteria:

7 points - complete solution;

6 points - factorization obtained, but not explained that other possible factorizations do not meet the condition "more than 10, but less than 15";

4 points - factorization obtained, but the conclusion is incorrect (for example, swapping the values of the number of children and the number of candies received by each child);

3 points - the answer is guessed, a check is performed, but it is not proven that there can be no other options;

1 point - factorization of the number of candies distributed is obtained, further progress is absent;

0 points - only the answer without justification.