Friday, October 19, 2012

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!!!!!