Chapter 1.2, Problem 35E

To determine

To write and solve a equation according to the given statement

Answer to Problem 35E

12.5 hours

Explanation of Solution

Given:

The person works for 30 hours per week and charges $8.75 per hour at the gas station.

Also, the person works as a landscaper and charged $11 per hour.

He earns a total of $400.

Calculation:

Let, the number of hours works as landscaper be x .

Now, if the person works for 30 hours per week and charges $8.75 per hour at the gas station, then,

Amount earned from working at the gas station = $(8.75 × 30) = $262.5

Also, the person works as a landscaper and charged $11 per hour.

Amount earned from working as landscaper = $(11 × x ) = $ 11x

According to the statements,

  $\begin{array}{l}\Rightarrow 11x+262.5=400\\ \Rightarrow 11x=400-262.5\\ \Rightarrow x=\frac{137.5}{11}\\ \Rightarrow x=12.5\end{array}$

Conclusion:

Hence, the required number of working hours is 12.5 hours.