1. Fishermen caught several carp and pike. Each one caught as many carp as all the others caught pike. How many fishermen were there if the total number of carp caught was 10 times the number of pike?

## Answer: 11.

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# Solution:

Let the total number of fishermen be $n$. Denote the total number of carp caught as $K$. This sum is equal to the sum of carp caught by each, i.e., it is equal to the sum of pike caught by all fishermen, counted $(n-1)$ times.

Thus, we have the equation: $K=10 \frac{K}{n-1}$.

From this - the answer