Question

A florist has 96 white roses, 72 red roses, and 108 pink roses. If all the roses are used, what is the greatest number possible of
identical bouquets that can be made?
B)

Answer 1

The greatest number possible of  identical bouquets that can be made is 12

Solution:

Given that,

A florist has 96 white roses, 72 red roses, and 108 pink roses

All the roses are used, we have to find the greatest number possible of  identical bouquets that can be made

Therefore, we have to find the greatest common factor (GCF) of 96, 72 and 108

GCF of 96, 72 and 108

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Then the greatest common factor is 12

Thus, greatest number possible of  identical bouquets that can be made is 12