Question

Beatrice has 15 glasses and 20 mugs. She would like to set them out in identical groups, with none left over. In preparation for a dinner party. What is the greatest number of groups Beatrice can set out?

Answer 1

find the greatest common factor

factor each
15=3*5
20=2*2*5

common factor is 5

15/5=3
20/5=4


greatest number of groups is 5 groups
each group will have 3 glasses and 4 mugs