2. The Soccer Club is selling T-shirts and washing cars to raise money for a summer trip. Last week, the club raised $292.50 by selling 15 T-shirts and washing 12 cars. This week, it raised $747.50 by selling 45 T-shirts and washing 10 cars.

(a) Write two equations showing the money the club raised each week, where x is the amount earned per T-shirt sold and y is the amount earned per car washed. Explain how you came up with each of your equations and what the values in your equations represent. 2 points
(b) How much does the Soccer Club charge for a T-shirt? Show your work. 1 point
(c) How much does the Soccer Club charge for a car wash? Show your work. 1 point