Wine, Wine and More Wine solution.

Okay Puzzlers,

It seems my little experiment where I scheduled a post from my blog to Facebook last Friday worked.  So here is the solution to the wine container problem.
First a re-statement of the problem: 
3 wine containers:   Container C - 7 quarts, full                             Container B - 13 quarts, full                             Container A - 19 quarts, empty
I want to eventually have 10 quarts in one of the containers.
Solution:
As I said before, the best I could do was 15 pourings:  I will show the pourings and what is in each of the 3 containers (A, B, C)
1.  Pour contents of 7 quart can into 19 quart can  (7, 13, 0)2.  From the 13 quart can fill up the 19 quart can (19, 1, 0)3.  From the 19 quart can fill the 7 quart (12, 1, 7)4.  7-quart into 13-quart (12, 8, 0)
5.  From 19 quart fill 7 quart (5, 8, 7)
6.  From 7 quart fill 13 quart (5, 13, 2)
7.  Pour contents of 13 quart into 19 quart (18, 0, 2)
8.  Pour contents of 7 quart into 13 quart (18, 2, 0)
9.  From 19 quart fill 7 quart (11, 2, 7)
10. Pour contents of 7 quart into 13 quart (11, 9, 0)
11. Fill 7 quart from 19 quart (4, 9, 7)
12. Fill 13 quart from contents of 7 quart (4, 13, 3)
13. Pour content of 13 quart into 19 quart (17, 0, 3)
14.  Pour content of 7 quart into 13 quart (17, 3, 0)
15.  Finally from 19 quart pour into 7 quart (10, 3, 7)

You now have the 19 quart container holding 10 quarts!!!!!
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Published on October 19, 2012 09:13
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Words From East Plains

Robert Spiller
Thoughts about Writing, Life, and the Joy of Books
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