## Task 2 - 220712

The (unrelated) families Meier and Schmidt are going on a short vacation trip with their children and take a large supply of paper napkins. Each participant receives a napkin at each meal. Each participant had the same number of meals, and it was more than one.

At the end of the trip, it was found that exactly 121 napkins had been used.

How many children of these families participated in the trip in total?
The number of paper napkins used is equal to the product of the number of participants and the number of meals each participant took.

Now, $121=11 \cdot 11$ is the only factorization that makes sense here; because $121=1.121$ is ruled out, as both the number of participants and the number of meals each participant had were greater than 1. Consequently, a total of 11 family members, and thus exactly 7 children, participated in the vacation trip.