Question

Ms. Stangl has 18 carnations and 24 tulips. She wants to make flower arrangements that contain the same number of each type of flower. what is the greatest number of arrangements that Ms. Stangl can make?

Answer 1

To determine the greatest number of flower arrangements, we find the greatest common divisor of 18 and 24, which is 6. Therefore, Ms. Stangl can make 6 flower arrangements with an equal number of carnations and tulips in each.

Step-by-step explanation:

The question from the student involves finding the greatest number of flower arrangements that Ms. Stangl can make with an equal number of carnations and tulips. To solve this, we need to find the greatest common divisor (GCD) of the two numbers of flowers, which are 18 carnations and 24 tulips.

Step-by-step explanation:

1. List the factors of 18 (1, 2, 3, 6, 9, 18).
2. List the factors of 24 (1, 2, 3, 4, 6, 8, 12, 24).
3. Identify the largest common factor shared by both lists, which is 6.
4. So, Ms. Stangl can make 6 arrangements with the same number of each type of flower.

In the context of flower arrangements, this means she could have 6 arrangements, each with 3 carnations and 4 tulips (since 18 divided by 6 equals 3, and 24 divided by 6 equals 4).