Math Problem Statement
Solution
To solve this problem, we need to determine how many evergreen trees are in Fern Park based on the provided information.
Key Details and Relationships:
-
Deciduous Trees Ratio (North Park to Fern Park):
- The ratio is 2:1.
- From the chart:
- North Park has 8 deciduous trees.
- Thus, Fern Park has deciduous trees.
-
Total Deciduous to Evergreen Tree Ratio:
-
The ratio of all deciduous trees to all evergreen trees is .
-
From the chart:
- Total deciduous trees in the other parks are: (North Park) + (Winter Park) + (Fern Park) = .
- Let the total number of evergreen trees in all three parks be .
Using the ratio , the relationship is: Substituting known values: Solving for : So, the total number of evergreen trees is 36.
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Breaking Down Evergreen Trees by Park:
- From the chart:
- North Park has 6 evergreen trees.
- Winter Park has 14 evergreen trees.
- Total evergreen trees in North and Winter Parks = .
- Thus, the number of evergreen trees in Fern Park is:
- From the chart:
Final Answer:
There are 16 evergreen trees in Fern Park.
Let me know if you'd like further clarification or have more questions! Here are some related questions for practice:
- How would the solution change if the ratio of deciduous to evergreen trees was 3:4 instead of 2:3?
- What is the total number of trees (deciduous + evergreen) in all three parks?
- How many more deciduous trees are there in Winter Park compared to Fern Park?
- If Fern Park had double the number of evergreen trees, what would the new total be?
- What is the percentage of deciduous trees in Winter Park relative to the total number of trees in Winter Park?
Tip: Always double-check ratios and totals for consistency to ensure accuracy in problem-solving!
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Math Problem Analysis
Mathematical Concepts
Ratios
Algebra
Proportional Reasoning
Formulas
Ratio of deciduous trees: Deciduous in North Park / Deciduous in Fern Park = 2 / 1
Total ratio formula: (Total Deciduous Trees / Total Evergreen Trees) = 2 / 3
Theorems
Ratio and Proportion Theorem
Suitable Grade Level
Grades 7-10
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