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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?

<span class='latex-bold'>(A) </span>\frac{2}{9}\qquad<span class='latex-bold'>(B) </span>\frac{3}{13}\qquad<span class='latex-bold'>(C) </span>\frac{7}{27}\qquad<span class='latex-bold'>(D) </span>\frac{2}{7}\qquad<span class='latex-bold'>(E) </span>\frac{1}{3}

Problem Statement