Question

Pat is making flower bouquets. She has 12 roses, 21 daisies, and 45 carnations. All of the bouquets must be exactly alike. What is the greatest number of bouquets Pat can make if she uses all the flowers?

A. 3
B. 4
C. 5
D. 7

Answer 1

The greatest number of bouquets Pat can make using all the flowers is 3 (Option A).

Step-by-step explanation:

Find the common factor of the number of each type of flower (roses, daisies, carnations):

Common factor of 12, 21, and 45 is 3.

Divide the quantity of each type of flower by the common factor:

Roses: 12 / 3 = 4

Daisies: 21 / 3 = 7

Carnations: 45 / 3 = 15

The smallest quotient obtained is the maximum number of identical bouquets:

The smallest quotient is 4, so the greatest number of bouquets is 4.

Thus, the greatest number of bouquets is 3 (Option A).