Question

A florist is making blue and white flower arrangements. He has 24 blue carnations and 36 red carnations. Each arrangement has the same number of blue carnations and the same number of red carnations. He uses all the flowers to make the greatest number of matching arrangements. How many total arrangements should there be?

1) 10
2) 12
3) 18
4) 20

Answer 1

The florist should make 12 total arrangements of blue and white flowers.

Step-by-step explanation:

The Greatest Common Divisor (GCD), also known as the Greatest Common Factor (GCF) or Highest Common Factor (HCF), is the largest positive integer that divides two or more integers without leaving a remainder. In other words, it is the greatest number that both numbers can be divided by.

To find the number of blue and white flower arrangements, we need to find the greatest common divisor (GCD) of the number of blue carnations and the number of red carnations. In this case, the GCD of 24 and 36 is 12. Therefore, there should be a total of 12 arrangements. The correct answer is option 2) 12.