2002 Pascal Problem 14

A class of 30 students wrote a history test. Of these students, 25 achieved an average of 75\%. The other 5 students achieved an average of 40\%. The class average on the history test was closest to

\textbf{(A)}\ 46\quad \textbf{(B)}\ 69\quad \textbf{(C)}\ 63\quad \textbf{(D)}\ 58\quad \textbf{(E)}\ 71

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 Pascal contests here.