Question

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.18) Can the trees be planted in:a. 6 groups?b. 8 groups?c. 9 groups?

Answer 1

The trees can be planted in 6 or 9 groups.

Explanation:

All the groups will have the same number of maple trees and dogwood trees.

The number of groups is a number that is both a factor of 36 and of 54.

Factors of 36: {1,2,3,4,6,9,12,18,36}

Factors of 54: {1,2,3,6,9,18,27,54}

The trees can be planted in 6 or 9 groups.