this post was submitted on 08 Sep 2024
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[–] TheRealKuni@lemmy.world 2 points 2 months ago* (last edited 2 months ago)

“Coprime” is the operative qualifier of the original comment.

I did say that 8 and 12 weren’t coprime.

You can’t do what Steve Martin did with coprime amounts of buns and dogs because they can never evenly go into one another. You’ll always have leftovers.

That isn’t true. You can do EXACTLY what he did. If he had packs of 8 hot dogs and 9 buns, removing one bun from each pack would have the same effect. And 8 and 9 are coprime.

And you can also do what I said he could’ve done, that is, get an even number of hot dogs and buns by purchasing different amounts of packages. If someone purchased 9 packs of 8 hot dogs and 8 packs of 9 buns, they would even out.

You can ensure any two coprime integers go into another number evenly by simply making them factors of the other number (in this case, 72).

Edit: fixed a typo