2016 Gauss 8 Problem 16

The mean (average) of a set of six numbers is 10. If the number 25 is removed from the set, the mean of the remaining numbers is

\textbf{(A)}\ 6\quad \textbf{(B)}\ 7\quad \textbf{(C)}\ 8\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 10

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 Gauss contests here.