2008 Pascal Problem 18

Alex has \$2.65. He has only dimes (worth \$0.10 each) and quarters (worth \$0.25 each). He has more dimes than quarters. What is the smallest number of coins that Alex could have?

\textbf{(A)}\ 25\quad \textbf{(B)}\ 16\quad \textbf{(C)}\ 13\quad \textbf{(D)}\ 19\quad \textbf{(E)}\ 22

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.