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Post by Ohio on Jun 24, 2003 7:34:04 GMT -5
A farmer sold his grain in 40 pound sacks because his only scale was a simple balance using a rock weighing exactly 40 pounds. One day the rock dropped and broke into 4 pieces. The farmer took the pieces of rock to the dealer where he had purchased the scale to see if they could be glued back together. The dealer weighed the four pieces and told the farmer that his grain could now be weighed in 1 pound increments all the way up to 40 pounds using the pieces of rock in various combinations on each platter.
How much does each of the 4 pieces of rock weigh in order to make that possible?
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z00ey
New Member
return is the movement of sense..
Posts: 2,309
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Post by z00ey on Jun 24, 2003 11:31:48 GMT -5
one pound, three pound, nine pounds.. ..those i ve tried and the first twelve possibilities worked fine so i just guess that fourth rock must be 27 pounds (has been try and error)br]patterns: 1,0 weight: 1 3,1 2 3,0 3 3+1,0 4 9,3+1 5 9,3 6 9+1,3 7 9,1 8 9,0 9 9+1,0 10 9+3,1 11 9+3,0 12 ..etc
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Post by Ohio on Jun 24, 2003 11:43:32 GMT -5
Well done zooey
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