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

Home > Logic > Weights and Scales
Weights (Posted on 2003-06-23) Difficulty: 2 of 5
You are given N number of weights that are all powers of 2. You are also given an item that weighs 1003 lbs.

(1) Exactly how many of those weights would be needed to balance the weight of the item if you could only use one of each weight?

(2) What's the fewest number of weights you can use to balance the weight of the item if there is an unlimited amount of each weight available to you?

See The Solution Submitted by luvya    
Rating: 1.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re(2): Balancing Act - outside the box | Comment 5 of 12 |
(In reply to re: Balancing Act - outside the box by fwaff)

fwaff's solution gives the least number of weights needed if the balance is modified. If the balance is not modified, the answer is four.

Place the 1024 lbs weight on the scale opposite the 1003-lbs item, and put 1, 4, and 16 lbs on the same side as the item. Presto! The weight of the item is balanced.
  Posted by Bryan on 2003-06-24 04:41:50

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information