During a school fundraiser, a total of 200 raffle tickets were sold. The tickets were sold in three price categories: $5, $10, and $15.
Specifically, 20% of tickets were sold at $5, 50% were sold at $10, and the remainder were sold at $15. If the total amount of money raised from the raffle tickets was used to buy new school equipment, calculate what percentage of the total amount raised was contributed by the sales of $15 tickets.