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New Measuring Puzzle

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

math
Here is a new poser in measuring liquids that will be found interesting. A man has two ten-quart vessels full of wine, and a five-quart and a four-quart measure. He wants to put exactly three quarts into each of the two measures. How is he to do it? And how many manipulations (pourings from one vessel to another) do you require? Of course, waste of wine, tilting, and other tricks are not allowed.

Solution

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

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