In the new clubroom, there were only chairs and a table. Each chair had four legs, the table was three-legged. Scouts came into the clubroom. Each of them sat on their own chair, two chairs remained unoccupied, and the number of legs in the room was 101.

Determine how many chairs were in the clubroom.

(L. Hozová)

Hint. How many legs belong to an occupied chair?
A table and two unoccupied chairs have a total of $3+8=11$ legs. The occupied chairs thus account for $101-11=90$ legs. Each such chair had one scout with two legs sitting on it. Therefore, there were $90: 6=15$ occupied chairs in the club room, and $15+2=17$ chairs in total.