. . .

 Subj:.....Eight Gallons Of Wine (S646)           From: MathNexus.wwu.edu           on 5/30/2008   Drawing from MathNexsus.wwu.edu...

.
Source: http://mathnexus.wwu.edu/Archive/oldie/detail.asp?ID=158

Two men purchased an 8-gallon cask of wine, and desired
to divide it equally; but they had only two measures
wherewith to do so, a 5-gallon measure and a 3-gallon
measure.  How can they perform the division?
.
.
.
 Finger pointing down from darrell94590 on 1/2/2006
.
.
.
 Drawing from Ripleys-Believe It Or Not
..

THE SOLUTION

As you move the eight gallons between the cask and
the two measures.  I will list on each move where
the wine is stored.

Move     8-gall Cask     5-gall Measure     3-gall Measure

0        8               0                  0
1        5               0                  3
2        5               3                  0
3        2               3                  3
4        2               5                  1
5        7               0                  1
6        7               1                  0
7        4               1                  3
8        4               4                  0

Now you have four gallns of wine in the cask and
four gallons in the 5-gallon measure.

.
.