Brain Teaser?

Question:You start with 3 jugs able to hold 12 liters of liquid, 7 liters, and 5 liters. 12 liters of liquid are contained in the 12 liter jug that is all you start with. Now pour liquid from one jug into another to make 2 jugs contain exactly 6 liters of liquid. Explain step by step how you did it. You cannot just pour 6 liters into the 7 liter jug. you must know with certainty. Ex. pour 5 liters of liquid into the 5 liter jug from the 12 liter jug. I'm left with 7 liters of liquid in the 12 liter jug, 0 liters in the 7 liter jug, and 5 liters of liquid in the 5 liter jug. etc, etc.

Answers:
ok this is going to take me too long to write out


so we start with
12, 0, 0
first # being the 12 jug, second 3 being the 7 jug and 3rd # being the 5 jug

or A, b c


12, 0, 0
5, 7, 0
5, 2, 5
10, 2, 0
10, 0, 2
3, 7, 2
3, 4, 5
8, 4, 0
8, 0, 4
1, 7, 4
1, 6, 5


i hope this is good enough
pour 6 liter liquid into 7 liter jug. now i left 6 liter in my 12 liter jug. cool huh?
L = liter, J =Jug
Fill the 7 LJ from the 12 LJ. That makes 7 in the 7LJ and 5 in the 12 LJ. Fill the 5 LJ from the 7LJ. That makes 5 in the 12LJ, 2 in the 7LJ, and 5 in the 5LJ. Add the 5 liters from the 5 LJ to the 12 LJ. That makes 10 in the 12LJ, 2 in the 7LJ and an empty 5LJ. Empty the 7 LJ into the 5 LJ. That makes 2 in the 5 LJ, 10 in the 12 LJ and an empty 7 LJ. Fill the 7 LJ from the 12 LJ. That makes 3 in the 12 LJ, 7 in the 7 LJ, and 2 in the 5 LJ. Pour from the 7 LJ into the 5 LJ. That makes 3 in the 12 LJ, 4 in the 7 LJ and 5 in the 5 LJ. Pour the 5 LJ into the 12 LJ. That makes 8 in the 12 LJ, and 4 in the 7 LJ. (5 LJ empty) Pour the 7LJ into the 5 LJ. That makes 8 in the 12 LJ, 0 in the 7 LJ and 4 in the 5 LJ. Fill the 7 LJ from the 12 LJ. That makes 1 in the 12 LJ and 7 in the 7LJ and 4 in the 5LJ. Fill the 5 LJ from the 7LJ. That makes 6 in the 7 LJ. Pour the 5LJ into the 12 LJ and you have 6 in the 12LJ, 6 in the 7LJ and an empty 5 LJ.

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