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Candy Jars (Sweet Jars in the UK version) is a puzzle in Professor Layton and the Curious Village.

Puzzle

US Version

You have 10 jars filled with 50 pieces of candy each. You then pour the candy into small bags and attempt to get half a jar in each bag. Now you have 20 bags of candy.

What is the percentage likelihood that there are an average of 25 pieces of candy in a single sack?

UK Version

You have 10 jars filled with 50 sweets each. You then pour the sweets into small bags and attempt to get half a jar in each bag. Now you have 20 bags of sweets.

What is the percentage likelihood that there are an average of 25 sweets in each bag?

Hints




Click a Tab to reveal the Hint.

Each of the 10 jars holds 50 pieces of candy, for a total of 500 pieces. You've taken this mountain of candy and divided it into 20 bags.

Pretty straightforward so far, right?

If you've made it this far, try reading the puzzle again carefully.

Think carefully. What exactly is the puzzle asking you?

That's right, you need to figure out the percentage likelihood that there will be an average of 25 pieces of candy per bag.

That's different from simply asking the percentage likelihood that a bag contains 25 pieces of candy, isn't it?

This will pretty much give the answer away, but since you paid for a hint, let's break it down, shall we?

Ten jars with 50 pieces to a jar means you have 500 pieces of candy in total.

If you divide those 500 pieces into 20 bags, you get 25 pieces... Now think about what exactly that number signifies.


Solution

Incorrect

Too bad!

Don't be fooled--it's a straightforward question with a simple answer.

Correct

Very good!

US Version

You had 50 pieces of candy in 10 jars, giving you a total of 500 pieces of candy. You divided 500 pieces into 20 bags, so of course the mathematical "average" of this will be 25 pieces a bag.

UK Version

You had 50 sweets in 10 jars, giving you a total of 500 sweets.
You divided 500 sweets into 20 bags, so of course the mathematical average of this will be 25 sweets a bag.

CV032S

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

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