Puzzle:Bouquet Giveaway

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Bouquet Giveaway

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Bouquet Giveaway
Game	Professor Layton and the Last Specter
Number	105
Type	Input
Location	Café Entrance
Solved by	Professor Layton
Picarats	30
Mandatory	No
Reward	None

Bouquet Giveaway is a puzzle in Professor Layton and the Last Specter.

Puzzle

A girl received a large bunch of flowers from an admirer. She felt that she had too many, so she gave them away to people she met on her way home. Each time she started by giving just one flower, and then she decided to give half of the remaining bunch.

After meeting five people, she had only one flower left.

How many flowers were in the whole bunch?

Hints

• →
• Hint 1
• Hint 2
• Hint 3
• S. Hint

Click a Tab to reveal the Hint.

In the end she only has one flower, so when she met the fifth person, she must have been holding three flowers.

Keep working backward this way, doubling and then adding one.

When she met the fourth person, she still had seven flowers.

As she ran into the third person, there were 15 flowers left in the bunch.

Continuing backward one meeting at a time, you can work out that the girl hat 31 flowers just before she bumped into the second person.

Therefore, the number of flowers she started with must be twice 31 plus one!

Solution

Incorrect

Too bad!

Try adding it up again.

Correct

Correct! The bunch had 63 flowers!