AMC 12 2011b Problem 2

Josanna's test scores to date are $90$, $80$, $70$, $60$, and $85$. Her goal is to raise her test average at least $3$ points with her next test. What is the minimum test score she would need to accomplish this goal?

\textbf{(A)}\ 80 \textbf{(B)}\ 82 \textbf{(C)}\ 85 \textbf{(D)}\ 90 \textbf{(E)}\ 95