Luxe Shoe Company manufactures two types of shoes, athletic shoes and casual shoes. The cost of manufacturing 20 pairs of athletic shoes and 10 pairs of casual shoes is $750. If 25 pairs of athletic shoes and 20 pairs of casual shoes were manufactured, the cost would be $1200. Write and solve a system of equations to find the cost to manufacture a pair of athletic shoes and the cost of manufacture a pair of casual shoes. Show work