Answer:
13
Step-by-step explanation:
I think the turtle would be 13 and 1/3 because we know that the turtle is half as old as the parrot. So if we divide 10 by 3/4 we can get how old the turtle is now
The system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
Thus, the age of the ava's turtle is 5 years.
Given:
Ava's turtle is half as old as her parrot.
The turtle will be 3/4 as old as her parrot in 10 years.
Let us assume the age of the turtle is x years and the age of the parrot is y years.
According to the first statement, the variables can be related as:
[tex]{x}=\dfrac{y}{2}\\2x=y[/tex]
According to the second statement, the variables can be related as:
[tex]\begin{aligned}x+10&=\dfrac{3}{4}(y+10)\\4(x+10)&=3(y+10)\\4x+40&=3y+30\\4x-3y&=-10\\3y-4x&=10\end{aligned}[/tex]
Thus, the system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
By solving the above system of the equation, we get x=5 and y=10.
Thus, the age of the ava's turtle is 5 years.
To know more about the system of the equation, please refer to the link:
https://brainly.com/question/2146068
