2013 Pascal Problem 24

Pascal High School organized three different trips. Fifty percent of the students went on the first trip, 80\% went on the second trip, and 90\% went on the third trip. A total of 160 students went on all three trips, and all of the other students went on exactly two trips. How many students are at Pascal High School?

\textbf{(A)}\ 1400\quad \textbf{(B)}\ 600\quad \textbf{(C)}\ 1200\quad \textbf{(D)}\ 800\quad \textbf{(E)}\ 1600

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.