A school band raised [tex]$\$252$[/tex] by holding a car wash. The band washed 42 cars in all. Which equation can be used to find [tex]n[/tex], the average amount they earned per car?

A. [tex]\frac{n}{42}=252[/tex]
B. [tex]42n=252[/tex]
C. [tex]\frac{42}{n}=252[/tex]
D. [tex]252n=42[/tex]



Answer :

To find the equation that can be used to determine [tex]$n$[/tex], the average amount earned per car, consider the following information:

- Total money raised by the car wash: \[tex]$252 - Total number of cars washed: 42 cars We need to find the average amount earned per car ($[/tex]n[tex]$). The average amount earned per car can be calculated using the formula: \[ n = \frac{\text{Total money raised}}{\text{Total number of cars washed}} \] Given: - Total money raised = \$[/tex]252
- Total number of cars washed = 42 cars

This can be substituted into the formula:

[tex]\[ n = \frac{252}{42} \][/tex]

To find [tex]$n$[/tex], we multiply both sides of the equation

[tex]\[ \frac{252}{42} = n \][/tex]

Rewriting the equation in a clear step:

[tex]\[ 42n = 252 \][/tex]

Thus, the correct equation to find the average amount earned per car ([tex]$n$[/tex]) is:

[tex]\[ 42n = 252 \][/tex]

So, the correct answer is:

(B) [tex]\( 42n = 252 \)[/tex]