AMC 12 2013b Problem 3

When counting from $3$ to $201$, $53$ is the $51^{\text{st}}$ number counted. When counting backwards from $201$ to $3$, $53$ is the $n^{\text{th}}$ number counted. What is $n$?

\textbf{(A)}\ 146 \textbf{(B)}\ 147 \textbf{(C)}\ 148 \textbf{(D)}\ 149 \textbf{(E)}\ 150