Answers to Math and Logic Puzzles

Answers to 14 Gallons
  1. One Pour solution!
  2. Thirteen Pour solution.
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One Pour solution.

In a single pouring from the 14 gallon container into the 9 gallon container, pour until the water level in the 14 gallon container is level with a diagonal from one corner of the container to the diagonally opposite corner!

While very clever, this is not the right answer.

Let's assume the containers are metal drums, with only a small opening on top.

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Thirteen Pour solution.


Pour #	14 gal	9 gal	5 gal

Start	14	0	0
 1	 5	9	0
 2	 5	4	5
 3	10	4	0
 4	10	0	4
 5	 1	9	4
 6	 1	8	5
 7	 6	8	0
 8	 6	3	5
 9	11	3	0
10	11	0	3
11	 2	9	3
12	 2	7	5
13	 7	7	0
There are other combinations of 13 pourings that will also work.

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