2009 Fermat Problem 8

Gavin 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 his collection that he can play in 3 hours?

\textbf{(A)}\ 100\quad \textbf{(B)}\ 36\quad \textbf{(C)}\ 56\quad \textbf{(D)}\ 60\quad \textbf{(E)}\ 45

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

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