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Weights Weighing puzzles  Weight: 3 Liked the puzzle: 100% 29.01.2010
What is the minimal number of weights required to be able to balance all integer weights 1,2,...,40 on a balance scale? Justify the minimality.
Comments:   4 check your solution  

Please do not post comments containing clues, hints, or anything that might be considered as a hint to others. All such comments will be deleted. If you have a question, you can contact a moderator by clicking the button "Submit your solution".

idler_
 
Rating: 106
Group: Moderators
2011-01-28 19:39:23
Reserved.
danger2society
 
Rating: 35
Group: Members
2011-03-30 08:11:53
Does this mean if "40" was on one side of the balance scale, "39" and "1" will be on the other side? And if so, does that mean 40, 39 and 1 cannot be used again?
kavfy
 
Rating: 221
Group: Moderators
2011-03-30 15:48:54
danger2society 2011-03-30 08:11:53
Does this mean if "40" was on one side of the balance scale, "39" and "1" will be on the other side? And if so, does that mean 40, 39 and 1 cannot be used again?
This means that if you choose weights for example 1, 39 and 40, you cat weight 1, 38 (A+1 vs 39), 39, 40 (A vs 39+1), 79 (A vs 39+40) and so on. All your weights 1, 39 and 40 can be used once in each operation.
mbloomfi
 
Rating: 97
Group: Members
2012-01-22 20:07:28
i still don't understand.
[You should ask such questions in a puzzle discussion. But the answer is "no, it isn't.".]





 
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