2011 Cayley Problem 10

The Athenas are playing a 44 game season. Each game results in a win or a loss, and cannot end in a tie. So far, they have 20 wins and 15 losses. In order to make the playoffs, they must win at least 60\% of all of their games. What is the smallest number of their remaining games that they must win to make the playoffs?

\textbf{(A)}\ 8\quad \textbf{(B)}\ 9\quad \textbf{(C)}\ 5\quad \textbf{(D)}\ 6\quad \textbf{(E)}\ 7

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.