Galoycin A.i.

In the basket, there are 30 mushrooms - russulas and boletus. It is known that among any 12 mushrooms, there is at least one russula, and among any 20 mushrooms - at least one boletus. How many russulas and how many boletus are in the basket?

#
There are no more than 19 russulas.

## Solution

Since among any 12 mushrooms, at least one is a russula, there are no more than 11 boletus. Since among any 20 mushrooms, at least one is a boletus, there are no more than 19 russulas. Since there are 30 mushrooms in total in the basket, there are exactly 11 boletus and 19 russulas.

## Answer

19 russulas and 11 boletus.