Question

A party supply store sells cups in packages of 6 and plates in packages of 8. You are hosting a party and you want to have the same number of each item.What is the least number of plates (packages) Shaniya needs to buy?

Answer 1

Given:

A party supply store sells cups in packages of 6 and plates in packages of 8.

We need the same number for each item.

so, we will find the least common multiple of 6 and 8

6 = 1 x 2 x x 3

8 = 1 x 2 x 2 x 2

========================

LCM = 1 x 2 x 2 x 2 x 3 = 24

So, we need 24 plates and 24 cups

so, the answer will be:

The number of packages of cups = 24/6 = 4 packages

The number of packages of plates = 24/8 = 3 packages