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A Boatload of Bother is a puzzle in Professor Layton and the Azran Legacy.

Puzzle

Benny's brothers have some work to do around the market, and for that, they need ten logs of wood each. They visit the timber merchant, who has just the right amount. However, they have to buy it in batches of four pallets. The pallets don't have a set number of logs, though, and to make things even harder, the salesman has no idea how many logs two of the pallets have, only that it's no more than five.

Help them all by dividing the wood into six four-pallet loads, each totalling ten logs.

Hints




Click a Tab to reveal the Hint.

Each pallet contains between one and five logs. You need to work out how to combine the pallets so the total number adds up to ten each time.

There are many ways of combining four numbers between one and five so that they add up to ten, for example 2 + 2 + 2 + 4, 3 + 3 + 2 + 2 or 4 + 1 + 1 + 4.

Can you find any more such combinations?

If you followed Hint 1 and tried thinking of four-number combinations that add up to ten, you'll likely have realised that there are only two that include a five: 1 + 1 + 3 + 5 and 1 + 2 + 2 + 5.

The four pallets along the right edge of the timber yard need to be grounded together. Start by making this set and take it from there.

Oh, and here's another hint: one of the pallets marked ? has just one log.

One of the pallets marked ? has one log on it, while the other has two.

The mystery pallet at the top right should be used in the combination 3, 2, 3, ?.

The other mystery pallet, in the bottom left, should be part of the combination 5, 3, 1, ?.


Solution

Correct

Good counting!

Thanks to you, Benny's brothers have plenty to do to keep themselves out of mischief!

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