2009 Pascal Problem 17

Nerissa writes five mathematics tests, each worth the same amount, and obtains an average of 73\%. After her teacher deletes one of her test marks, Nerissa's new average is 76\%. What was the mark on the test that the teacher deleted?

\textbf{(A)}\ 60\%\quad \textbf{(B)}\ 61\%\quad \textbf{(C)}\ 62\%\quad \textbf{(D)}\ 63\%\quad \textbf{(E)}\ 64\%

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.