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Bouquet Giveaway (Bouquet Give Away in the UK version) is a puzzle in Professor Layton and the Last Specter.

## Puzzle

US Version

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?

UK Version

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 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

Click a Tab to reveal the Hint.

US Version

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.

UK Version

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

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.

US Version

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!

UK Version

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

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

US Version

UK Version