Question

Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.

Find the multiples of plates and cups. She will not have more than 80 guests at her party!


What is the LCM? (The number of people at the party!)


How many packs of cups and packs of plates will she need to buy for that number?

_____ packs of plates and


_____ packs of cups so


she has _____ of each.
Answer the blank and questions

Answer 1

For 80 people, Elena would need

14 packs of plates and 10 packs of cups

She would have at least 80 of each.

I am not completely sure of this, sorry if wrong.

Explanation:

80 people

8 cups per pack

6 plates per pack

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

LCM (least common multiple) = 24