Three people buy timber together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins. It is found that in the transactions 4 coins are left over. They wish to divide these proportionally among themselves. How many coins should each person receive?
Suan shu shu (Writings on Reckoning), c. 180 BCE
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The answer is: The one who paid 5 should get 2 back, the one who paid 3 should get \(1\dfrac{1}{5}\) back, and the one who paid 2 should get \(\dfrac{4}{5}\) back
"Buying Wood," Convergence (March 2007)