All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic > Weights and Scales
A four-way division (Posted on 2002-06-12) Difficulty: 4 of 5
Four friends are gathered at a pub. They have in front of them two 8-pint trankards full of beer, and an empty 3-pint mug.

Since they are still sober, they quickly calculate that they have 16 pints for the four of them, which comes out to an even 4 pints per person.

Can they divide the beer equally with the containers they have available?

See The Solution Submitted by levik    
Rating: 3.7500 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
solution (w/ caveat) | Comment 4 of 13 |

So this solution assumes that you have clear containers and are sober enough to fill two containers to the same level.

We'll label the tankards A & B and the mug M. First use the mug to give everyone 3 pints as follows:

A -> M : drink
B -> M : drink
A -> M : drink
B -> M : drink

At this point, everyone has had 3 pints and A & B each have two pints remaining.

- Pour A into M and top off with the beer from B. M now contains 3 pints and B contains 1.

- Fill A to the same level as B. drink.

- Take the remaining two pints in M, and fill both A & B to the same level. drink.

Stagger home and question the wisdom of a pub with such strange, and scarce glassware.

-M
  Posted by Matt on 2002-06-12 12:56:27
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (3)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information