Answer: 8 hours
Step-by-step explanation:
Given: profit for mowing lawns this week is \(\$24\). You are paid \(\$8\) per hour and you paid \(\$40\) for gas for the lawn mower.
To Find: How many hours did you work this week.
Solution:
Total profit for mowing lawns this week \(=\$24\)
Hourly payment for mowing lawn\(=\$8\)
Amount paid for gas for lawn mower \(=\$40\)
Let total hours in week we worked \(=\text{x}\)
Now,
Total profit made \(=\text{hourly payment} \times \text{Total hours worked}-\text{Amount paid for gas}\)
\(\text{Total profit}=\text{x}\times8-40\)
putting values,
\(24=8\text{x}-40\)
\(8\text{x}=64\)
\(\text{x}=\frac{64}{8}\)
\(\text{x}=8\)
Therefore we mowed lawns for \(8\) \(\text{hours}\) this week.
