Q58. - Algebra 1

Question

Solve each equation.

AGE Shandra's age is four more than three times Sherita's age. Write an equation for Shandra's age. Solve if Sherita is 3 years old.

Step-by-Step Solution

Answer

The equation of the Shandra’s age is:

           $x=3\times y+4$

The age of the Shandra is $13$ when age of Sherita is $3$.

Step 1. Given information.

We have the statement Shandra's age is four more than three times Sherita's age.

To write an equation for Shandra's age and find the age of Shandra if age of Sherita is 3 years.

Step 2. Find the equation for Shandra’s age.

Let Shandra’s age is $x$ years and Sherita’s age is $y$ years.

According to given conditions,

The equation of the Shandra’s age is:

          $x=3\times y+4$

Step 3. Calculation.

The age of the Shandra’s if age of Sherita $\left(y\right)$ is $3$.

        $$\begin{gathered} x=3\times y+4 \\ \Rightarrow x=3\times 3+4 \\ \Rightarrow x=9+4 \\ \Rightarrow x=13 \end{gathered}$$

Hence, the age of the Shandra is $13$ when age of Sherita is $3$.