A fox, a wild-cat, and a hound pass through customs and together pay 111 coins. The hound says to the wild-cat, and the wild-cat says to the fox, "Since your fur is worth twice as much as mine, then the tax you pay should be twice as much!" How much should each pay?
Suan shu shu (Writings on Reckoning), c. 180 BCE
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The answer is: the hound pays \(15\dfrac{6}{7}\) coins, the wild-cat pays \(31\dfrac{5}{7}\) coins, and the fox pays \(63\dfrac{3}{7}\) coins
"Animal Customs," Convergence (March 2007)