2013 AMC 10B Problems/Problem 4

Revision as of 17:23, 21 February 2013 by Mcr23 (talk | contribs) (Solution)

Problem

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

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

Solution

148\qquad\textbf{(D)}