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Sharing the Burden is a puzzle in Professor Layton and the Miracle Mask. The puzzle must be solved in order to progress the story.

Puzzle

Two porters have to carry six pieces of luggage of unknown weight. Each piece weighs a different amount, and they are labeled in order of weight from A to F, with A being the lightest and F the heaviest. Each piece weighs up to 10 lbs., and the total weight is 40 lbs. or less.

Each porter can carry up to 20 lbs. at once, and between them they want to carry it all in one trip. How should they divide up the luggage between them? Pile it all up in their hands, and then ring the bell when ready!

Hints




Click a Tab to reveal the Hint.

There are six pieces of luggage, so your first assumption might be that each porter should carry three pieces. However, it's possible that one of them could take four pieces if they're light enough.


Test this out by putting pieces A-D in one of the porter's hands. If he can't carry the four lightest pieces, then the only option is for the porters to take three pieces each.

Based on Hint 1, it should be clear that each porter can carry only three pieces of luggage. The challenge then is to divide them up in a way that balances.

First, try giving one porter the heaviest piece of luggage, F, and the other porter the second heaviest.

Following on from Hint 2, the porter carrying piece F should also take the lightest piece of luggage, A.

Meanwhile, the other porter should take B, the second-lightest piece.

Now it's just a matter of where to put the last two!

If you followed Hints 2 and 3, you should have just two pieces of luggage left.

Thankfully, it doesn't matter if you get it wrong and make the porters buckle under the strain. They aim to please no matter the task, so you have ample opportunity to swap around pieces C and D and try again. This time it should be correct.


Solution

Correct

Correct!

A luggage crisis has been averted.

MM012S

A big thanks to http://www.youtube.com/user/LaytonKyouju

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