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 :
Forest City can plant 36 maple trees and 54 dogwood trees in 6 or 9 groups, as these groupings allow for an equal number of each type of tree per group. However, they cannot be planted in B. 8 groups, because the numbers of trees would not divide evenly.
The question asks whether Forest City can plant 36 maple trees and 54 dogwood trees in equal groups of either 6, 8, or 9 groups. To find out if the trees can be divided into these group sizes without any trees left over, we need to check if the total number of each type of tree can be evenly divided by the number of groups.
- 6 groups: 36 maple trees divided by 6 equals 6 maple trees per group, and 54 dogwood trees divided by 6 equals 9 dogwood trees per group. This is possible.
- 8 groups: 36 maple trees divided by 8 does not result in a whole number, nor does 54 dogwood trees divided by 8. This would leave trees ungrouped, which cannot be done.
- 9 groups: 36 maple trees divided by 9 equals 4 maple trees per group, and 54 dogwood trees divided by 9 equals 6 dogwood trees per group. This is also possible.
Therefore, the trees can be planted in 6 or 9 groups but not in 8 groups.
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Answer:
The trees can be planted in 6 or 9 groups.
Step-by-step 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.
