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The Keg Of Wine

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
Here is a curious little problem. A man had a ten-gallon keg full of wine and a jug. One day he drew off a jugful of wine and filled up the keg with water. Later on, when the wine and water had got thoroughly mixed, he drew off another jugful and again filled up the keg with water. It was then found that the keg contained equal proportions of wine and water. Can you find from these facts the capacity of the jug?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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