2003 AMC 12A Problem 2

Members of the Rockham Soccer League buy socks and T-shirts. Socks cost 4 per pair and each T-shirt costs 5 more than a pair of socks. Each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is $2366, how many members are in the League?

\mathrm{(A) \ } 77\qquad \mathrm{(B) \ } 91\qquad \mathrm{(C) \ } 143\qquad \mathrm{(D) \ } 182\qquad \mathrm{(E) \ } 286

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.