2003 AMC 10B Problem 2

Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs \$1 more than a pink pill, and Al's pills cost a total of \$546 for the two weeks. How much does one green pill cost?

\textbf{(A) }\$7 \qquad\textbf{(B) }\$14 \qquad\textbf{(C) }\$19\qquad\textbf{(D) }\$20\qquad\textbf{(E) }\$39

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