Question

Thea and Renee are planning a fall festival. The cups they are buying are sold in packages that contain 8 cups. The plates are sold in packages that contain 12 plates. They want to purchase the least number of packages possible that will give them the same number of cups and plates. How many packages of each should they purchase?

Answer 1

Answer: There are 3 packages of cups and 2 packages of plates.

Explanation:

Since we have given that

Number of cups they sold = 8

Number of plates they sold = 12

For the least number of packages possible that will give them the same number of cups and plates , we'll find L.C.M. of 8 and 12.

`\text{L.C.M. of 8 and 12}= 24`

So,

Packages of cups they purchase is given by

`(24)/(8)=3`

Packages of plates they purchase is given by

`(24)/(12)=2`