Brain Teasers
Bales of Hay
A farmer was weighing five bales of hay, and each bale was a different weight. Because he was an odd farmer, he weighed the hay bales in groups of two, in every possible combination (but 2-3 and 3-2 are the same). The farmer wrote down the total weights, but forgot to match them to the groups of hay bales (1&2, 1&3 etc.) that they went with. The weights were 80, 82, 83, 84, 85, 86, 87, 88, 90, and 91 kilograms.
The task is to find out how much each bale of hay weighs and what combinations of bales made each total weight.
The task is to find out how much each bale of hay weighs and what combinations of bales made each total weight.
Answer
Hay bale #1- 39 kgHay bale #2- 41 kg
Hay bale #3- 43 kg
Hay bale #4- 44 kg
Hay bale #5- 47 kg
Total
Weight....Bale....Bale Weights
...80....| 1 + 2 |....39 + 41
...82....| 1 + 3 |....39 + 43
...83....| 1 + 4 |....39 + 44
...84....| 2 + 3 |....41 + 43
...85....| 2 + 4 |....41 + 44
...86....| 1 + 5 |....39 + 47
...87....| 3 + 4 |....43 + 44
...88....| 2 + 5 |....41 + 47
...90....| 3 + 5 |....43 + 47
...91....| 4 + 5 |....44 + 47
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