Question

In Sam's part time job, Sam's hours vary each week. Last month Sam worked 23 hours the first week, 30 hours the second week, 11 hours the third week, and 18 hours the fourth week. Sam's gross pay for those four weeks was $1148. A. Let p represent his hourly pay. Write the equation for Sam's gross pay over these four weeks. B. Solve the equation in part a to determine Sam's hourly pay rate.

Answer 1

A.

Total hours worked = 23 + 30 + 11 + 18 = 82 hours (in 4 week)

Total amount = $1148

Hourly Pay = p dollars per hour

Equation for Gross Pay:

$82p=1148$

B.

To find his hourly pay, we simply divide his total (1148) with the number of hours worked (82 hrs). Thus, we have:

$\begin{gathered} 82p=1148 \\ p=\frac{1148}{82} \\ p=14 \end{gathered}$

Sam's hourly rate: 14 dollars per hour