The manager of a community pool is looking over receipts. On Monday, the receipt total is $156. There were 42 children and 38 adults that day. On Friday the pool was much busier. There were 126 children and 62 adults for a total of $312. What are the admission prices for children and adults to the community pool?

"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?