Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . what is the least amount of product that you need to buy if you want exactly one hot dog for each hot dog bun

The lowest amount of hot dog packages you would need to buy is 4, and the lowest amount of hot dog bun packages you would need to buy is 5. This would leave you with 40 hot dogs in total.

To answer this question, you need to find the lowest common multiple of 10 and 8. You can do this by first finding the prime factors of 10 and 8, so:

10 -> 5 × 2
8 -> 2 × (4) -> 2 × 2

Now you multiply together all of the prime numbers, so you get 5 × 2³ as both factors share one 2, and 10 has a 5 and 8 has an extra two 2's.

2³ = 8, and 5 × 8 = 40, so you will end up with 40 total hot dogs and buns.

To find the amount of packages needed, you simply need to divide 40 by the amount that is in each package, so 40 ÷ 10 = 4, and 40 ÷ 8 = 5.

I hope this helps!