Question

PLEASE HELP

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

well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.

6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48

As we can see, the least common multiple of 6 and 8 is 24.

Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates

Hope this helped!!! :)