Question

A florist has 60 tulips and 72 daffodils. The florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers. What is the greatest number of bouquets the florist can make? *

Answer 1

Answer: 12

Step-by-step explanation:

Given: A florist has 60 tulips and 72 daffodils.

He wants to make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

Then, the greatest number of bouquets the florist can make =  GCD (60,72)

where GCD = Greatest Common Divisor

Prime factorization of 60 and 72 :

60 = 2 x 2 x 3 x 5

72 = 2 x 2 x 2 x 3 x 3

GCD(60,72) = 2 x 2 x 3 = 12

Hence, the greatest number of bouquets the florist can make = 12