Question

Consider a picnic. if you want to buy enough hot dogs and buns without having any left over, you need to balance the number of packages of buns (which usually contain 8 buns) with the number of packages of hot dogs (which usually contain 10 dogs). what is the smallest number of packages of buns and hot dogs you need, respectively?

Answer 1

No guarantee that there will enough hotdogs for the buns, we must find the common multiple between the usual number of hot dogs and buns in each package.

Since we're looking for the smallest common multiple between 8 and 10, we can use the method shown below to compute for the least common multiple. 

8 = 2³ 
10 = 2 x 5
LCM = 2³ x 5 = 40

To purchase 40 hot dogs and buns, you need to buy 5 packages of buns and 4 packages of hot dogs.

Answer:

Hotdog: 4 packages
Buns: 5 packages