Henry Ernest Dudeney/Modern Puzzles/183 - At the Brook/Solution

by : $183$

 * At the Brook

Solution
Perform the transactions according to the following:


 * $\begin {array} {r|c|c|c} & \text {$15$-pint} & \text {$16$-pint} \\ \hline

& 0 & 0 \\ (1): & 15 & 0 \\ (2): & 0 & 15 \\ (3): & 15 & 15 \\ (4): & 14 & 16 \\ (5): & 14 & 0 \\ (6): & 0 & 14 \\ (7): & 15 & 14 \\ (8): & 13 & 16 \\ (9): & 13 & 0 \\ (10): & 0 & 13 \\ (11): & 15 & 13 \\ (12): & 12 & 16 \\ (13): & 12 & 0 \\ (14): & 0 & 12 \\ (15): & 15 & 12 \\ (16): & 11 & 16 \\ (17): & 11 & 0 \\ (18): & 0 & 11 \\ (19): & 15 & 11 \\ (20): & 10 & 16 \\ (21): & 10 & 0 \\ (22): & 0 & 10 \\ (23): & 15 & 10 \\ (24): & 9 & 16 \\ (25): & 9 & 0 \\ (26): & 0 & 9 \\ (27): & 15 & 9 \\ (28): & 8 & 16 \\ \end {array}$

and it is seen that $8$ pints have been measured out in $28$ transactions.