1998 Gauss 8 Problem 11

The weight limit for an elevator is 1500 kilograms. The average weight of the people in the elevator is 80 kilograms. If the combined weight of the people is 100 kilograms over the limit, how many people are in the elevator?

\textbf{(A)}\ 14\quad \textbf{(B)}\ 17\quad \textbf{(C)}\ 16\quad \textbf{(D)}\ 20\quad \textbf{(E)}\ 13

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.