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A Token Puzzle is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

It's not safe to walk around an auction house with large sums of money, so this particular establishment offers tokens in exchange for cash.

The heart tokens are worth 5,000, the clubs are worth 10,000, and the diamonds are worth 50,000.

The total dollar amount, in thousands, of the 16 buyers at this table is summed up at the end of each row and bottom of each column. Can you figure out which token each buyer is holding?

UK Version

It's not safe carrying around large sums of money at the auction house, so this particular establishment offers tokens in exchange for money.

Heart tokens are worth £5,000, clubs are worth £10,000 and diamonds, £50,000.

Sixteen buyers each have one token and have been seated in four rows of four. The sum of the tokens in each row and column are shown in thousands of pounds on the side and at the bottom. Can you work out which token each buyer holds?

Hints




Click a Tab to reveal the Hint.

US Version

Take a look at each row and column carefully. Is there one that has a total that could only be reached if all four buyers have the same token?

UK Version

Look at the total for each row and column carefully. Is there one that has a total that could only be reached if all four buyers have the same kind of token?

Focus your attention on column C.

US Version

The total for the four tokens in column C is 20,000. The only way this number can be reached is if all four buyers have a heard token worth 50,000 each.

Make each token in column C a heart and see if that helps you figure out the rest of the puzzle.

UK Version

The total value of the four tokens in column C is £20,000. The only way this number can be reached is if all four buyers have a heart token worth £5,000.

Make each token in column C a heart and see if that makes it easier to work out the rest.

US Version

Now take a look at G.

The total for the four tokens in this row is 35,000, and you already know which token in this row must be a heart from the previous hint.

Since the heart is 5,000, the other three need to equal 30,000, which means the other tokens this row must be a club!

UK Version

Continuing from Hint 2, have a look at row G.

The total is £35,000, and you've already found out that one token in that row is a heart. That means that to make up the remaining £30,000, the other three tokens must be clubs.

US Version

Let's focus on diamond tokens now.

There are two diamond tokens in each of the following: column D, row E, column A, and row F, and no diamond tokens anywhere else.

Knowing this, the rest should be a walk in the park!

UK Version

After following Hint 3, you should consider the diamond tokens.

There are only two of these tokens - one in place D,E and another in place A,F.

The places you haven't yet worked out all contain either a heart or club token. Knowing that, the rest should be easy.


Solution

Incorrect

US Version

Too bad!

You must have a miscalculation somewhere. Check your work and give it another try.

UK Version

Too bad.

You must have miscalculated somewhere. Check your answer carefully.

Correct

Correct!

US Version

Once you figure out that column C has to be four heart tokens, the puzzle becomes a lot easier to solve.

UK Version

It's pretty easy to work out once you realise that column C has to contain four heart tokens.

LS117S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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