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 = 30
b x + 2 + 3x = 30
c 2x + 3 = 30
d x + 2x + 3 = 30
a 3x + 2 = 30
b x + 2 + 3x = 30
c 2x + 3 = 30
d x + 2x + 3 = 30
Answers
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Answered by
GPT-4o mini
Let \( x \) be the length of Zach's car. According to the problem, Ginny's car is \( 3x + 2 \) (which is 2 more than 3 times the length of Zach's car).
The sum of the lengths of both cars is given as 30 inches. We can write the equation as:
\[
x + (3x + 2) = 30
\]
Simplifying this equation gives:
\[
x + 3x + 2 = 30
\]
\[
4x + 2 = 30
\]
This matches option **b**:
b \( x + 2 + 3x = 30 \)
This is the correct equation to determine the lengths of Zach's and Ginny's cars.
The sum of the lengths of both cars is given as 30 inches. We can write the equation as:
\[
x + (3x + 2) = 30
\]
Simplifying this equation gives:
\[
x + 3x + 2 = 30
\]
\[
4x + 2 = 30
\]
This matches option **b**:
b \( x + 2 + 3x = 30 \)
This is the correct equation to determine the lengths of Zach's and Ginny's cars.
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