KöMaL 2023 B5336

The organizers of a school event bought four kinds of sweets to use them as awards for correct answers. The prices paid for them were $1300$ forints (HUF, Hungarian currency), $3000$ forints, $3300$ forints and (for questions for the audience) a large number of sweets for $50$ forints a piece. The total was $41 300$ forints, and the mean price per item was exactly $100$ forints. How many of each kind did they buy?