Question

Peter's party zone sells cups in packages of 6 and plates in packages of 8. shaniya is hosting a birthday party for her little sister and wants to have the same number of each item. what is the least number of packages of plates shaniya needs to buy?

Answer 1

The least number of packages of plates Shaniya needs to buy is 3 packages.

Explanation:

Each package contains 6 cups.

Each package contains 8 plates.

She doesn't have the same number of cups and plates yet, she needs to buy more! When we keep going, we see that the multiples first meet 24.

6,12,18,24

8,16,24

Mathematically, we can say that 24 is the least common multiple of 6 and 8. In math notation it looks like this:

lcm(6,8)=24

To find the number of packages of plates, we need to divide by how many plates are in each package.

24/8=3

Your answer is 3 packages.