Henry Ernest Dudeney/Modern Puzzles/184 - A Prohibition Poser/Solution 1

by : $184$

 * A Prohibition Poser

Solution
Fill the $7$-quart measure and empty it down the drain a total of $14$ times.

Then you will have thrown away $98$ and have $22$ quarts left in the barrel.

This takes $28$ transactions.

Then perform the transactions according to the following:


 * $\begin {array} {r|c|c|c} & \text {$7$-quart} & \text {$5$-quart} & \text {Barrel} \\ \hline

& 0 & 0 & 22 \\ (1): & 7 & 0 & 15 \\ (2): & 2 & 5 & 15 \\ (3): & 2 & 0 & 15 \\ (4): & 0 & 2 & 15 \\ (5): & 7 & 2 & 8 \\ (6): & 4 & 5 & 8 \\ (7): & 4 & 0 & 8 \\ (8): & 0 & 4 & 8 \\ (9): & 7 & 4 & 1 \\ (10): & 6 & 5 & 1 \\ (11): & 6 & 0 & 1 \\ (12): & 1 & 5 & 1 \\ (13): & 1 & 0 & 1 \\ (14): & 1 & 1 & 0 \\ \end {array}$

This is a total of $42$ transactions.