Question

Your profit for mowing lawns this week is $\$24$. You are paid $\$8$ per hour and you paid $\$40$ for gas for the lawn mower. How many hours did you work this week?

Answer 1

Since the activity is paid $\$8$ per hour and the charge needed to do the activity is $\$40$.

Let the number of hours worked be as $x$

According to the equation,

$8x-40=24$

Transfer the constant to the right hand side of the equation, We get

$$\begin{gathered} 8x=24+40 \\ 8x=64 \end{gathered}$$

Dividing both sides of the equation by $8$, We get

$$\begin{gathered} \frac{8x}{8}=\frac{64}{8} \\ x=8 \end{gathered}$$

It took $8$ hours of work.