16 students in the drama club want to attend a play. The ticket price is $35 for each student, and the 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 so so that there will be enough money to pay for the trip?