Flatbread/Thaler/Exercise

Two persons, ${}A$ and ${}B$, are lying beneath a palm tree, ${}A$ has ${}2$ flatbreads, and ${}B$ has ${}3$ flatbreads. A third person ${}C$ joins them, ${}C$ has no flatbread, but ${}5$ thalers. They agree to distribute, against the ${}5$ thalers, the ${}5$ flatbreads uniformly among them. How many thalers gives ${}C$ to ${}A$, how many to ${}B$?

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