ANSWERS: 3
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  • 12.6 To figure out what one chicken weighs. a+b=6.1 a+c=8.5 b+c=10.6 to find chicken a (((a+b)+(a+c))-(b+c))/2= (((6.1)+(8.5))-(10.6))/2=2 kilograms
  • I would have used algebra, but Happy Biohazard's done a good job of that. So how to do it without algebra? The three weighings for pairs of chickens are 10.6 kg, 8.5 kg and 6.1 kg If each chicken has an identical twin, and you had three scales, you could do each weighing simultaneously. like this: weigh medium with large = 10.6 kg and weigh small with large = 8.5 kg and weigh small with medium = 6.1 kg The total weight of the six chickens is 10.6+8.5+6.1 which is 25.2 kg. So the weight of the original three chickens must be half that. To find the weight of the small chicken use the twins again: put small, small, medium, and large on one scale, and the remaining two: medium and large on another. From the known weighings the first set must weigh 6.1+8.5 kg = 14.6 kg And the other two weigh 10.6 kg. And the difference, two small chickens, is 4 kg. So one small chicken is half that. The same idea will get you the other two chickens weights.

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