Sarah took clothes to the cleaners three times last month. First, she brought 2 shirts and 1 of slacks and paid $9.97. Then she brought 5 shirts, 3 pairs of slacks, and 1 sports coat and paid $34.91. Finally, she brought 3 shirts and 2 sports coats and paid $22.45.
How much was she charged for each shirt, each pair of slacks, and each sports coat?