Because nine pens were given to the first prize for the second time, if there were two first prizes, it would not be enough to give them to the second prize and the third prize.

So only 1 person won the first prize.

So there are x people in the second prize and y people in the third prize.

Then it is 6+3x+2y=22.

9+4x+y=22

The solution is x=2 y=5.

So the first prize 1 person, the second prize 2 people, the third prize 3 people.