Question

Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars. A. 3x+2=30B. x+2+3x=30C. 2x+3=30D. x+2x+3=30

Answer 1

We can represent the length in Zach's car model by x

Since we have been given that Ginny's car is 2 more than 3 times the length of Zach's car, then we can get the expression as follow

$\begin{gathered} 3\text{ times the length of Zach's car is} \\ 3\times x=3x \\ \end{gathered}$$\begin{gathered} 2\text{ more than 3 times the length of Zach's car will be} \\ 2+3x \end{gathered}$

Therefore,

Ginny's model will be 2 + 3x

Next, we are told that the sum of the lengths of both cars is 30 inches

Then

$\begin{gathered} Zach\text{+}Ginny=30 \\ x+2+3x=30 \end{gathered}$

Therefore,

The answer is

$x+2+3x=30$

Thus, the answer is Option B