Question

Cups are sold in packages of 8. Napkins are sold in packages of 12. What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins? Hint**- What will you need to find GCF or LCM?

Answer 1

24 packages

Explanation:

Given

Represent Napkins with N and Cups with C

`C = 8's`

`N = 12's`

Required

Determine the smallest amount of N and C that will be equal

To do this, we simply calculate the LCM of N and C as follows:

List out the multiples of each..

`C = 8,16,24,30....`

`N = 12,24,36,48...`

The common multiple between both is 24.

Hence, 24 packages of N and C answers the question