2019 AMC 10B Problem 3

In a high school with 500 students, 40\% of the seniors play a musical instrument, while 30\% of the non-seniors do not play a musical instrument. In all, 46.8\% of the students do not play a musical instrument. How many non-seniors play a musical instrument?

\textbf{(A) } 66 \qquad\textbf{(B) } 154 \qquad\textbf{(C) } 186 \qquad\textbf{(D) } 220 \qquad\textbf{(E) } 266

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.