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The Bun Problem (Posted on 2004-05-07) Difficulty: 3 of 5
Here is a good shape problem I heard about recently:

There are 3 buns with sprinkles on the top that 4 people want to share. The buns have a radius of 3 inches, 4 inches and 5 inches, and although the people know where the center of each bun is, they don't know anything else about the buns, and all they have is a knife to divide the buns.

What is the fewest number of pieces required to let each person have the same area of bun? (Note that each cut must be from top to bottom; horizontal cuts would result in uneven sprinkle distribution. The cuts don't need to be straight.)

See The Solution Submitted by Gamer    
Rating: 2.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Measure? | Comment 15 of 26 |
(In reply to Measure? by Gamer)

You have a good point. 
Although it doesn't say you can't use this or that, it DOES say "all they have is a knife to divide the buns".  I assume they have the ability to cut a straight line with a knife, and since they know where the center is, they can cut the largest bun in half (I'm back to assuming cylindars instead of spheres). 

But is it a reasonable assumption that they can bisect an angle (other than a 360 degree angle)?

  Posted by Larry on 2004-05-09 11:35:00
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