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2021 AMC 10D Question 9

AMC10 · 2021 AMC 10D

Question 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?
  1. $ \dfrac{2}{9} $
  2. $ \dfrac{3}{13} $
  3. $ \dfrac{7}{27} $
  4. $ \dfrac{2}{7} $
  5. $ \dfrac{1}{3} $