2002 Cayley Problem 8

After having played three basketball games, Megan had scored an average of 18 points per game. After her fourth game, her scoring average had dropped to 17 points per game. How many points did Megan score in her fourth game?

\textbf{(A)}\ 18\quad \textbf{(B)}\ 17\quad \textbf{(C)}\ 16\quad \textbf{(D)}\ 15\quad \textbf{(E)}\ 14

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.