Question

Derek shopping for hot dogs and buns. He is surprised to find that the hot dogs come in

packs of 8, while the buns come in packs of 12. How many hot dogs and buns will Derek
have to buy if he wants to have the same number of each?

Answer 1

3 packs of hotdogs and 2 packs of buns

Explanation:

Let
`h =` number of hotdogs, and
`b =` number of buns

8
`h` = 12
`b`

LCM of 8 and 12 is 24

8
`h` = 24

`h` = 3

12
`b` = 24

`b` = 2

`\therefore` Derek needs to buy 3 packs of hotdogs and 2 packs of buns to have the same number of each.

Hope this helps :)

Answer 2

Derek would have to buy 3 packs of 8 hotdogs and 2 packs of 12 hotdog buns.

Explanation:

This is because 8 times 3 is 24 and 12 times 2 is 24.

8 and 12 both have a common multiple, which is 24.

So if he buys 3 packs of hotdogs, which come in packs of 8, he'll get 24.

And if he buys 2 packs of buns, which come in packs of 12, he'll get 24.

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