Sixteen students in the drama club want to attend a play. The ticket price is $35 for each student and transportation and meals for everyone will cost $960. To pay for the trip, the students design sweatshirts to sell for a profit of $19 per sweatshirt. If each student sells the same number of sweatshirts, how many sweatshirts must each student sell so that there will be enough money to pay for the entire cost of the trip