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weighing

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5 men took turns weighing themselves on a scale 2006-03-30
From Bev:
5 men took turns weighing themselves on a scale. However, they weighed each other two at a time, ten times total, so that every possible combination of two men was weighed. The scale had the following read out for the pairs, 236,244,228,250,258,230,246,238,242,and 252 pounds. How heavy was the heaviest man?
Answered by Claude Tardif.
Twelve golf balls 2005-12-28
From Todd:
You have 12 golf balls and 11 of them are the exact same weight, but one of them is either a little heavier or a little lighter. You only have three attempts to weigh the balls. How can you determine which ball weighs more/less than the rest?
Answered by Penny Nom.
A counterfeit coin 2004-01-23
From Kim:
You are considering buying 45 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. Find the least number of weighings on a balance scale that you can use to be certain you have found the counterfeit coin?
Answered by Penny Nom.
Splitting weight 2003-02-10
From Jin Ho:
A balance scale has only two weights, 1 ounce and 4 ounces. In only three weighings split 180 ounces of seed in two bags of 40 and 140 ounces.
Answered by Penny Nom.
Weighing pumpkins 2002-09-08
From Jennifer:
Suppose five pumpkins are weighed two at a time in all possible ways. The weights in pounds are recorded as 16, 18, 19, 20, 21, 22, 23, 24, 26, and 27. How much does each individual pumpkin weigh. NO FRACTIONS!
Answered by Penny Nom.
 
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