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This question has two parts. First, answer Part A. Then, answer Part B.

**Part A**

A park has a ginkgo tree, a dogwood tree, and 2 blue spruce trees. The blue spruce trees are 8 years old. The ginkgo tree is 2 years less than three times the age of the dogwood tree. The ginkgo tree is also half the sum of the ages of the dogwood tree and both of the blue spruce trees.

Select the equation that can be used to find the ages of the ginkgo and dogwood trees. Let [tex]d[/tex] be the age of the dogwood tree (in years).

A) [tex]3d - 2 = \frac{1}{2}(d + 8 + 8)[/tex]
B) [tex]\frac{3}{2}d = \frac{1}{2}d + 8 + 8[/tex]
C) [tex]\frac{3}{2}d = \frac{1}{2}(d + 8 + 8)[/tex]
D) [tex]3d - 2 = \frac{1}{2}d + 8 + 8[/tex]

Answer :

To solve the problem about the ages of the ginkgo and dogwood trees, let's carefully use the information given and find the correct equation.

We have:

- Dogwood Tree: Let's denote the age of the dogwood tree as [tex]\( d \)[/tex] years.
- Blue Spruce Trees: There are two of these trees, and each is 8 years old. So, both together are [tex]\( 8 + 8 = 16 \)[/tex] years.
- Ginkgo Tree: We have two pieces of information about its age:
- It is 2 years less than three times the age of the dogwood tree, which can be expressed as [tex]\( 3d - 2 \)[/tex].
- It is also half the sum of the ages of the dogwood tree and both blue spruce trees, which can be expressed as [tex]\( \frac{1}{2}(d + 8 + 8) \)[/tex] or [tex]\( \frac{1}{2}(d + 16) \)[/tex].

Now, we need to find the equation that represents the age of the ginkgo tree based on the given conditions.

The problem asks us to equate these two expressions because both describe the ginkgo tree's age:
1. [tex]\( 3d - 2 \)[/tex] (age based on being 2 years less than three times the dogwood tree's age)
2. [tex]\( \frac{1}{2}(d + 16) \)[/tex] (age based on being half the sum of the dogwood tree and both blue spruces)

Thus, the correct equation is:
[tex]\[ 3d - 2 = \frac{1}{2}(d + 16) \][/tex]

This equation matches option D. Therefore, the equation that can be used to find the ages of the ginkgo and dogwood trees is option D:

[tex]\[ 3d - 2 = \frac{1}{2}(d + 8 + 8) \][/tex]

Thank you for reading the article This question has two parts First answer Part A Then answer Part B Part A A park has a ginkgo tree a dogwood tree and. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany