2017 Fermat Problem 11

Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20\% of the students brought an apple and 35\% brought a banana. If 9 students brought oranges, how many students were in the class?

\textbf{(A)}\ 18\quad \textbf{(B)}\ 64\quad \textbf{(C)}\ 24\quad \textbf{(D)}\ 20\quad \textbf{(E)}\ 40

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 Fermat contests here.