Due today! Help! The homecoming dance happened last Saturday. Some students bought tickets in advance for $5 each and other bought tickets at the door for $7. In all, 290 students attended the dance and $1790 was the total of all ticket sales. How many students bough tickets in advance and how many bought tickets at the door?

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?