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

Home > Logic > Weights and Scales
Unbalanced?- No problem (Posted on 2017-05-30) Difficulty: 2 of 5
Given a sack of sugar, an unbalanced scale, and two 5-pound weights, measure exactly 10 pounds of sugar.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Only 1 solution out of 4 is guaranteed to work | Comment 5 of 7 |
We have 4 "solutions" submitted so far, but only one always works.

Consider a balance beam, with two pans hanging from it.  It can be unbalanced in 3 different ways:
1) The empty pans can be different weights.  The amount needed to make the scale balanced is a constant.
2) The balance beam can be longer on one side than on the other.  The amount needed to make the scale balanced depends on the weights in the pans.
3) Both problems exist.

Jer's solution and  Hoodat's solution work only in case 1.
Daniel's solution works only in case 2.
Broll's solution has the advantage of always working, no matter how the scale is unbalanced.
To my way of thinking, broll's is the only solution.

Edited on May 30, 2017, 11:22 pm
  Posted by Steve Herman on 2017-05-30 23:16:13

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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information