Question

Lavinia has 9 glasses and 6 mugs . she would like to set them out in identical groups with none left over in preparation for a party. What is the greatest number of groups Lavinia can set out

Answer 1

You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.

Answer 2

The greatest number of groups Lavinia can set out is:

3

Explanation:

Lavinia has 9 glasses and 6 mugs .

We know that:

9=3×3

and 6=3×2

So, maximum 3 groups can be set out which contains 3 glasses and 2 mugs each

Hence, the greatest number of groups Lavinia can set out is:

3