Hay Bales Research

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Haybaler
We are trying to find the weight of five hay bales. The bales of hay were weighed in pairs. The weights of the pairs in kilograms were 80,82,83,84,85,86,87,88,90, and 91. What are the weights of the individual bales? Is there an easier way to find the weights?

Our group is using the guess and check method. We used variables such as A,B,C,D, and E for the hay bales. We did so to keep track of the hay bales one by one. We used equations like A+B=80, A+C=82, A+D=83, A+E=84, B+C=85, B+D=86, B+E=87,C+D=88,C+E=90, and D+E=91. I started 38 but it didn’t work. I didn’t find the answer for 38 so I kept on going up . After trying many numbers, I couldn’t find the answer myself, but i do agree with the class’s answer. First, they used numbers

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