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How Many Are Left? is a puzzle in Professor Layton and the Curious Village.

Puzzle

Ten candles stand burning in a dining room. A strong breeze blows in through an open window and extinguishes two of them. Checking back in on the candles later, you see that one more candle has gone out. To make sure no more flames go out, you shut the window. Assuming the wind doesn't extinguish any more candles, how many candles do you have left in the end?

Hints




Click a Tab to reveal the Hint.

It may seem straightforward, but it wouldn't be a puzzle if there wasn't a trick to it. Read the problem over again.

The problem wants to know how many candles you "have left in the end."

The wind blows out two candles, and then shortly afterward blows out one more. So how many candles are extinguished?

The candles that aren't extinguished by the wind continue to burn. What will happen to these candles if they are allowed to keep burning?

Think critically about what "have left in the end" really means. It means that an item continues to exist, doesn't it? So, what becomes of a burning candle when it's left alone?


Solution

Incorrect

Too bad!

Think about the problem one more time. The puzzle asks you to figure out how many candles you have "left in the end," but what does that actually mean?

Correct

That's correct!

The seven candles that manage to stay lit will melt down completely. The only candles that remain in the end are the three that are extinguished by the wind and therefore stay intact.

CV015S

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