### Brain Teasers

# Water Juggling

Here's what you have:

-Two 8-liter jugs, filled with water

-One 3-liter jug, empty

-Four infinite size, empty pools

Here's what your objective is:

Fill each of the four pools with exactly 4 liters of water.

Here are your constraints:

-You have nothing else at your disposal.

-There is no other water aside from the two 8-liter water filled jugs.

-Once water is poured into any of the 4 pools it cannot be removed from there.

-The jugs are not symmetric so you cannot measure amount by eye or judge based on shape.

-Two 8-liter jugs, filled with water

-One 3-liter jug, empty

-Four infinite size, empty pools

Here's what your objective is:

Fill each of the four pools with exactly 4 liters of water.

Here are your constraints:

-You have nothing else at your disposal.

-There is no other water aside from the two 8-liter water filled jugs.

-Once water is poured into any of the 4 pools it cannot be removed from there.

-The jugs are not symmetric so you cannot measure amount by eye or judge based on shape.

### Hint

I am not sure how to help you :). I solved this in 24 steps (you may have more or less). It helps to label the jugs and pools, and then draw. Oh, main key, try to work backwards, from filled pools, and see what final steps are even possible.### Answer

It's not short but it's right - use a piece of paper and follow the steps using A, B, C and pools. Change the quantities in each as you complete each step - it is worth it to see it come out right.Lets label the jugs.

Jug A - first 8-liter

Jug B - second 8-liter

Jug C - 3-liter.

The four infinites are pool 1, pool 2, pool 3, and pool 4.

1. Jug A to Jug C

2. Jug C to pool 1

3. Jug A to Jug C

4. Jug A to pool 2

5. Jug C to Jug A

6. Jug B to Jug C

7. Jug C to Jug A

8. Jug B to Jug C

9. Jug C to Jug A

At this point, we have:

Jug A - 8

Jug B - 2

Jug C - 1

Pool 1 - 3

Pool 2 - 2

Pools 3&4 - empty

10. Jug C to pool 3

11. Jug B to Jug C

12. Jug A to Jug C

13. Jug C to Jug B

14. Jug A to Jug C

15. Jug C to Jug B

16. Jug A to Jug C

17. Jug A to pool 4

At this point, we have:

Jug A - 0

Jug B - 6

Jug C - 3

Pool 1 - 3

Pool 2 - 2

Pool 3 - 1

Pool 4 - 1.

18. Jug C to Jug B

19. Jug C to pool 1

20. Jug B to Jug C

21. Jug C to pool 3

22. Jug B to Jug C

23. Jug C to pool 4

24. Jug B to pool 2

... And we end up with the desired result:

Jug A - 0

Jug B - 0

Jug C - 0

Pool 1 - 4

Pool 2 - 4

Pool 3 - 4

Pool 4 - 4

Tough, but workable.

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