Chapter 1.2, Problem 35E

To determine

To calculate: To find how many hours must one work as a landscaper to earn a total of $\$400$ per week

Answer to Problem 35E

One needs to work for $12.5$ hours as a landscaper to earn total of $\$400$ per week

Explanation of Solution

Given: One work $30$ hours per week at a gas station and earn $\$8.75$ per hour and also work as a landscaper for $\$11$ per hour and can work as many hours as one want

Calculation:

Given thatone work $30$ hours per week at a gas station and earn $\$8.75$ per hour

Thus, money earned by working at a gas station is calculated as

  $\begin{array}{l}{M}_1=30\times \$8.75\\ M_1=\$262.50\end{array}$

Now in order to earn a total of $\$400$ per month, money one has to earn by working as a landscaper is calculated as

  $\begin{array}{l}{M}_2=\$400-\$262.50\\ M_2=\$137.50\end{array}$

Also, given that one can earn $\$11$ per hour by working as landscaper.

Let the number of hours one worked as a landscaper be $x$

Thus, number of hours can be calculated as

  $\begin{array}{l}x=\frac{\$137.50}{\$11}\\ x=12.5\end{array}$

Conclusion:

Hence, one needs to work for $12.5$ hours as a landscaper to earn total of $\$400$ per week