Problem

(2) Greg draws three lines on the board. Lines $m$ and $n$, that the measure of $\angle 2$ is 3 the measure of $\angle 1$. What is the mea 8 Math Journal Ava's turtle is half as old as her parrot. In 10 years, her turtle will be $\frac{3}{4}$ as old as her parrot. Write an equation to represent this situation. How old is Ava's turtle? End of Lesson Checklist INTERACTIVE GLOSSARY Find the entry for variable. Write a definition for a younger student. Show an example. SELF CHECK Go back to the Unit 3 Opener and see what you can check off. 246 LESSON 10 Solve Linear Equations in One Variable CCurriculum Associates, LLC Copyin

Solution

Step 1 :Let's denote the age of the turtle as \(t\) and the age of the parrot as \(p\).

Step 2 :From the problem, we know that the turtle is half as old as the parrot. So we can write this as an equation: \(t = \frac{p}{2}\).

Step 3 :We also know that in 10 years, the turtle will be \(\frac{3}{4}\) as old as the parrot. We can write this as another equation: \(t + 10 = \frac{3}{4}(p + 10)\).

Step 4 :Now we have a system of two equations, and we can solve it to find the values of \(t\) and \(p\).

Step 5 :The solution to the system of equations is \(p = 10\) and \(t = 5\), which means the parrot is 10 years old and the turtle is 5 years old.

Step 6 :Therefore, Ava's turtle is 5 years old.

Step 7 :Final Answer: Ava's turtle is \(\boxed{5}\) years old.

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