The Haybaler Problem Imagine you have five bales of hay. For some reason, instead of
being weighed individually, they were weighed in all possible
combinations of two: bales 1 and 2, bales 1 and 3, bales 1 and 4,
bales 1 and 5, bales 2 and 3, bales 2 and 4, and so on.
The weight of each combination was written
down without keeping track of which weight
matched which pair of bales. The weights in
kilograms were 80, 82, 83, 84, 85, 86, 87, 88, 90,
and 91.
o Your Task
Your initial task is to find out how much each
bale weighs. Is your answer the only possible
set of weights? Explain how you know.
Once you are done looking for solutions, look
back over the problem to see if you can find
some easier or more efficient way to find the
weights.