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Using the least common multiple, it is found that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.
First, we need to find the total number of each element, finding the least common multiple of the sizes of each package, that is, 8 and 12.
The lcm is found factoring them by prime factors, hence:
8 - 12|2
4 - 6|2
2 - 3|2
1 - 3|3
1 - 1
Hence, lcm(8,12) = 2³ x 3 = 24.
Then:
Which means that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.
More can be learned about the least common multiple at https://brainly.com/question/24873870
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