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?