Question

Sixty people are invited to a party. There are 24 cups in a package and 18 napkins in a package. What is the least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin? LCM Packages of cups Packages of napkins

Answer 1

The least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin is 3 cups and 4 napkins

Explanation:

Step 1

We find and list the multiples of 18 and 24

Multiples of 18:

18, 36, 54, 72, 90, 108

Multiples of 24:

24, 48, 72, 96, 120

The first common multiple is found is 72 and this is the lowest common multiple.

Therefore,

LCM(18, 24) = 72

The least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin is calculated as:

For packages of cups:

We have 24 cups in a package , hence:

72 ÷ 24 = 3 cups

For packages of napkins

We have 18 napkins in a package

= 72 ÷ 18 = 4 napkins