2009 Cayley Problem 11

Gillian has a collection of 50 songs that are each 3 minutes in length and 50 songs that are each 5 minutes in length. What is the maximum number of songs from her collection that she can play in 3 hours?

\textbf{(A)}\ 100\quad \textbf{(B)}\ 36\quad \textbf{(C)}\ 56\quad \textbf{(D)}\ 60\quad \textbf{(E)}\ 80

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.