Question

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Answer 1

Answer:

Javier's equation is not correct because the variable "a" should be multiplied by $2/3$ only and then added to $10$

Step-by-step explanation:

Let

a------>is the tree’s age in years

we have that

$(10+\frac{2}{3})a=50$ -------> Javier's equation

we know that

The equation that represent the situation is equal to

$10+\frac{2}{3}a=50$

Solve for a

Multiply by $3$ both sides

$3*(10+\frac{2}{3}a)=3*50$

$30+2a=150$

$2a=150-30$

$a=120/2=60\ years$

Javier's equation is not correct because the variable "a" should be multiplied by $2/3$ only and then added to $10$

Answer 2

The correct equation for finding the age of the tree is $10+\dfrac{2}{3}a=50$ and the age of the tree is 60 years.

“The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

Javier writes the equation,

$(10+2/3)a=50$

where a is tree's age in years.

Now, from the given condition, let us make the equation that leads to the age of the tree in years.

Hence, the correct equation is given below:

$\begin{aligned}10+\dfrac{2}{3}a=50\\\dfrac{2}{3}a=40\\a=\dfrac{3 \times40}{2}\\a=60\;\rm{years} \end{aligned}$

Thus, the correct equation for finding the age of the tree is $10+\dfrac{2}{3}a=50$ and the age of the tree is 60 years.

To know more about it, please refer to the link:

https://brainly.com/question/3219181