2016 Pascal Problem 19

Chris received a mark of 50\% on a recent test. Chris answered 13 of the first 20 questions correctly. Chris also answered 25\% of the remaining questions on the test correctly. If each question on the test was worth one mark, how many questions in total were on the test?

\textbf{(A)}\ 23\quad \textbf{(B)}\ 38\quad \textbf{(C)}\ 32\quad \textbf{(D)}\ 24\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 Pascal contests here.