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Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees. How many groups can be formed?

Answer :

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

Can the trees be planted in 6, 8, or 9 parts?

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

If you want to learn more about common factors:

https://brainly.com/question/219464

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