[CV078] Water Pitchers

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077 - Which Job?

078 - Water Pitchers

079 - Apples to Oranges

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Water Pitchers is a puzzle in Professor Layton and the Curious Village.

Puzzle

US Version

You have one 16-quart pitcher full of water, one empty nine-quart pitcher, and one empty seven-quart pitcher.

Using nothing but these three pitchers, can you divide the water evenly so that the 16- and nine-quart pitchers are each holding exactly eight quarts of water?

UK Version

You have one 16 litre pitcher full of water, one empty 9 litre pitcher, and one empty 7 litre pitcher.

Using nothing but these three pitchers, can you divide the water evenly so that the 16 and 9 litre pitchers are each holding exactly 8 litres of water?

Hints

Click a Tab to reveal the Hint.

That's right, it's time for another good, old- fashioned pitcher puzzle. This time around, the shortest solution requires 15 moves.

As always, don't try shifting the liquid back and forth aimlessly. One tip that can make this process easier is to focus on the discrepancy between how much each pitcher can hold.

Other than that, just do what you've been doing all along on these puzzles, and you'll come out on top.

After you move a larger pitcher filled with water to a smaller pitcher, some water will remain in the larger pitcher. Pay attention to this leftover amount.

Think about how you can use this leftover water in your pours to reach an answer.

16 10

9 6

Once you've made it this far, you're only four more moves away from the solution.

Solution

Correct

Wonderful!

US Version

If you shift the water back and forth long enough, you'll eventually end up with eight gallons in each pitcher. The shortest possible solution requires 15 moves.

UK Version

If you shift the water back and forth long enough, you'll eventually end up with eight litres in each pitcher. The shortest possible solution requires 15 moves.

Initial Position
Pour the 16 qt. cup into the 9 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 7 qt. cup into the 16 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 16 qt. cup into the 9 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 7 qt. cup into the 16 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 16 qt. cup into the 9 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 7 qt. cup into the 16 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 16 qt. cup into the 9 qt. one
Pour the 9 qt. cup into the 7 qt. one
Pour the 7 qt. cup into the 16 qt. one

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