Problem StatementThis weeks P.O.W. was named, The Hay Baler Problem, it was about a transform baler who had just finished weighing five bales of hay. Unfortunately, he weighed the bales was in combinations of two. He weighed bale 1 with 2, 1 with 3, 1 with 4, and respective(prenominal)ly different two-baled combination. In the end, he came up with a ring of 10 different burden downs. However, he did not remember which entreat he weighed the bales and was now supposed to determine the encumbrance of from each one individualistic bale, not the bale combinations. Using the final weights (in kilograms) he came up with from whole the bale combinations: 80, 82, 83, 84, 85, 86, 87, 88, 90 and 91, it is your job to constitute out the final weight of each of the five individual bales of hay. Also, you may want to find out if there is by chance more than one set of weights for this problem, and how you admit this. ProcessFirst I principal of every combination of bales. I ended up getting ten different combinations. The weights in Kg are listed in roll of numbers not in order of weight in pairs of bales. So I knew I needed to design out the heaviest and the lightest bales. So I switched the numbers 1-5 for the variables a-e. So a=1, b=2, c=3, d=4, and e=5.The smallest combination of bales is 80 so I will divide that by 2 and I outwit 40 so I last that both numbers will be around 40.

a + b39 + 41 = 80a + c39 + 43 = 82a + d39 + 44 = 83a + e39 + 47 = 86b + c41 + 43 = 84b + d41 + 44 = 85b + e41 + 47 = 88c + d43 + 44 = 87c + e43 + 47 = 90 d + e44 + 47 = 91SOLUTION: The weight of the bales of hay is 39, 41, 43, 44, and 47.! I know that I am just because all of the combinations work out so that they all ensure exactly right and if you added any 2 bales of hay unitedly they would equal one of the combinations witch are 80, 82, 82, 84, 85, 86, 87, 88, 90, and 91. self perspicacity:I would give myself a A on this prisoner of war because I worked really hard and toke a lot of fourth dimension and thought into it. Also I showed all my work.If you want to get a full essay, order it on our website:
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