Thank you for visiting 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. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To determine the number of trees in each group, we need to find the greatest common divisor (GCD) of 36 and 54. Using the Euclidean algorithm, we find that the GCD is 18. Therefore, each group in the city park will contain 18 maple trees and 18 dogwood trees.
In this problem, the goal is to divide the total number of maple trees and dogwood trees equally into groups. We start by finding the GCD of 36 and 54, which represents the largest number that can divide both 36 and 54 without leaving a remainder. The Euclidean algorithm allows us to determine the GCD by repeatedly dividing the larger number by the smaller number and taking the remainder. After dividing 54 by 36, we get a quotient of 1 and a remainder of 18. Then, dividing 36 by 18 gives us a quotient of 2 and a remainder of 0. Since we have reached a remainder of 0, we stop the process. The last non-zero remainder we obtained, which is 18, represents the GCD. Therefore, each group in the city park will have 18 maple trees and 18 dogwood trees, ensuring an equal distribution of trees.
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