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A park district has 25 elm trees and 20 oak trees to be planted. They are separating the trees for different areas. They want each area to have the same number of elm trees and the same number of oak trees. What is the greatest number of areas that can be created?

Respuesta :

5 is the greatest number because if you divide both by five you get 4 and 5, and no number besides one goes into 4 and 5.
JeanaShupp

Answer:  5

Step-by-step explanation:

Given : A park district has 25 elm trees and 20 oak trees to be planted. They are separating the trees for different areas.

They want each area to have the same number of elm trees and the same number of oak trees.

Then, to find the greatest number of areas that can be created, we need to find the greatest common factor of 20 and 25.

Prime factorization of 20 and 25 :-

[tex]20=2\times2\times5\\\\25=5\times5[/tex]

We can see that the greatest common factor (GCF) of 20 and 25=5

Hence, the greatest number of areas that can be created=5

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