[CV023] Juice Pitchers

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022 - Pigpen Partitions

023 - Juice Pitchers

024 - Milk Pitchers

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

Puzzle

US Version

Here we have an eight-quart pitcher filled with juice, an empty five-quart pitcher, and an empty three-quart pitcher.

The pitchers are unmarked, and your task is to divide the eight quarts of juice so that both the five-quart pitcher and the eight-quart pitcher are each holding exactly four quarts.

UK Version

Here we have an 8 litre pitcher filled with juice, an empty 5 litre pitcher and an empty 3 litre pitcher.

The pitchers are unmarked, and your task is to divide the 8 litres of juice so that both the 5 litre pitcher and the 8 litre pitcher are each holding exactly 4 litres of juice.

Hints

Click a Tab to reveal the Hint.

This puzzle can be frustrating because it's easy to end up back where you started.

Pay special attention to difference, particularly the one-quart difference between five quarts and four quarts.

If you pour the contents of the five-quart pitcher into the three-quart pitcher, you are left with two quarts.

If you're aiming to isolate four quarts, you just need to remove one quart from five. To get that one quart, you just need to create a single quart's worth of space in another pitcher.

If you pour the contents of the five-quart pitcher into the three-quart pitcher, you are left with two quarts. Next, empty the three-quart pitcher and pour in the two quarts you had stored in the five-quart pitcher.

Well, look at that! How many quarts worth of space do you have left in that three-quart pitcher now?

Solution

Correct

Well done!

US Version

If you keep at it long enough, you're sure to come across the solution. The shortest possible solution requires seven moves.

These liquid distribution problems have been around for ages, and have even been spotted in Japanese texts from hundreds of years ago.

UK Version

If you keep at it long enough, you're sure to come across the solution. The shortest possible solution requires seven moves.

These liquid distribution problems have a very long history, with some examples dating back to medieval times.

Initial position
Pour 8-liter in 5-liter
Pour 5-liter in 3-liter
Pour 3-liter in 8-liter
Pour 5-liter in 3-liter
Pour 8-liter in 5-liter
Pour 5-liter in 3-liter
Pour 3-liter in 8-liter

Trivia

In the Japanese version, wine is distributed instead of juice.

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