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The Father of the Bride flips out when he realizes that the hot dogs and buns don't
match. There are 8 hot dogs in a package and 12 buns in a package. How many
packs of hot dogs and how many packs of buns do you need to purchase in order to
have the exact same number of each?

Respuesta :

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.

How to find the number of packs needed?

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:

  • 24/8 = 3.
  • 24/12 = 2.

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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