AMC 10 2021-fall-b Problem 9

The knights in a certain kingdom come in two colors. $\frac{2}{7}$ of them are red, and the rest are blue. Furthermore, $\frac{1}{6}$ of the knights are magical, and the fraction of red knights who are magical is $2$ times the fraction of blue knights who are magical. What fraction of red knights are magical? $\textbf{(A) }\frac{2}{9} \textbf{(B) }\frac{3}{13} \textbf{(C) }\frac{7}{27} \textbf{(D) }\frac{2}{7} \textbf{(E) }\frac{1}{3}$