Henry Ernest Dudeney/Modern Puzzles/185 - Prohibition Again

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Modern Puzzles by Henry Ernest Dudeney: $185$

Prohibition Again
Let us now try to discover the fewest possible manipulations under the same conditions as in the last puzzle,
except that we may now pour back into the barrel.


The last puzzle
The American Prohibition authorities discovered a full barrel of beer,
and were about to destroy the liquor by letting it run down a drain
when the owner pointed to two vessels standing by and begged to be allowed to retain in them a small quantity for the immediate consumption of his household.
One vessel was a $7$-quart and the other a $5$-quart measure.
The officer was a wag, and, believing it to be impossible, said that if the man could measure an exact quart into each vessel
(without any pouring back into the barrel) he might do so.
How was it to be done in the fewest possible transactions without any marking or other tricks?
Pouring down the drain counts as one transaction.
Perhaps I should state that an American barrel of beer contains exactly $120$ quarts.


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Sources

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