## FANDOM

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The Mayoral Election is a puzzle in Professor Layton and the Diabolical Box.

## Puzzle

US Version

Three people at odds with one another are running for mayor in the upcoming town election. Including these three candidates, the town has a voter population of 40 people. In order to win, a candidate must get more votes than any other candidate.

If each of the 40 voters casts a single vote and every vote is recognized, what is the fewest number of votes a candidate needs to secure victory with certainty?

UK Version

Three people at odds with one another are running for mayor in the upcoming town election. They are all locals of the town, which has a voter population of 40. In order to win, a candidate must get more votes than any other candidate.

If each of the 40 voters casts a single vote and every vote is recognised, what is the fewest number of votes a candidate needs to secure victory?

## Hints

Click a Tab to reveal the Hint.

US Version

Think about how many votes exist in the town, excluding the three cast by the candidates themselves.

UK Version

Think about how many votes will be cast in the town excluding the three cast by the candidates themselves.

US Version

Even the three candidates themselves have the right to vote.

Of course, seeing as how each of them want to win, it's a given that the candidates will likely vote for themselves.

UK Version

The three candidates themselves also have the right to vote.

Of course, since each of them wants to win, you can take it for granted that each candidate will vote for themselves.

US Version

Find the number of votes it takes to gain a majority in a pool of 37 voters, and add one additional vote to that sum to get your answer.

UK Version

Find the number of votes it takes to gain a majority in a pool of 37 voters and add one additional vote to that sum to get your answer.

## Solution

### Incorrect

Think hard about the clues you've been given and try again.

That's right!

US Version