Answer to the Puzzle

1. Fill the 7-gallon bucket and dump it into 13-gallon bucket. 2. Repeat. You now are left with 1 gallon in the 7-gallon bucket. 3. Empty the 13 gallon bucket and pour the 1 gallon from the 7-gallon bucket into it. 4. Fill the 7-gallon bucket and pour the water into the 13-gallon bucket. 5. Fill the 7-gallon bucket again and pour into the 13-gallon bucket. Since the 13-gallon bucket will now take only 5 additional gallons (1 + 7 + 5 = 13) you will have 2 gallons in the 7-gallon bucket. Don't forget the empty the 13-gallon bucket before going back to the cabin.