Please reason step by step, and put your final answer within \boxed{}.
The Razorback shop offers three different types of jerseys (type A, type B, and type C) and two types of t-shirts (type X and type Y). The shop makes $180 off each type A jersey, $210 off each type B jersey, $220 off each type C jersey, $240 off each type X t-shirt, and $270 off each type Y t-shirt. During the Arkansas and Texas Tech game, they sold 50 type A jerseys, 35 type B jerseys, 25 type C jerseys, 80 type X t-shirts, and 97 type Y t-shirts. What is the weighted average revenue difference between the t-shirts and jerseys sold?
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