2. Three bear cubs were dividing three pieces of cheese weighing 10 g, 12 g, and 15 g. A fox came to help them. She can simultaneously bite and eat 1 g of cheese from any two pieces. Can the fox leave the bear cubs equal pieces of cheese?
Answer: She can.

Solution. Let's provide one of the possible examples of how the fox could do it. For convenience, let's record the results of the fox's "work" in a table.

| 10 | 12 | 15 |
| :---: | :---: | :---: |
| 9 | 12 | 14 |
| 8 | 12 | 13 |
| 7 | 12 | 12 |
| 7 | 11 | 11 |
| 7 | 10 | 10 |
| 7 | 9 | 9 |
| 7 | 8 | 8 |
| 7 | 7 | 7 |

How one might guess the solution. First, try to equalize only two pieces of cheese, and then all three.

## Grading Criteria.

- Correct algorithm (regardless of length, written in words or in a table) - 7 points.
- Generally correct algorithm with missing steps - **5** points.
- Shows how to equalize two pieces, but no further progress - 2 points.
- Only the answer "yes" or "she can" - **0** points.