2008 Cayley Problem 18

In the board game "Silly Bills", there are \$1, \$2 and \$3 bills. There are 11 more \$2 bills than \$1 bills. There are 18 fewer \$3 bills than \$1 bills. If there is \$100 in total, then how many \$1 bills are there in the board game?

\textbf{(A)}\ 11\quad \textbf{(B)}\ 14\quad \textbf{(C)}\ 22\quad \textbf{(D)}\ 33\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 Cayley contests here.