Question

Wages. JoAnn works in the publicity office at the state university. She is paid $10 an hour for the first 35 hours she works each week and $15 an hour for every hour after that. If she makes $515 one week, how many hours did she work?She worked for ? hours.

Answer 1

Explanation:

46

Answer 2

Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.

Since she received $515, we know that she worked extra hours.

Let's use the variable x to represent the number of extra hours worked.

So we can write the following equation for the total payment received:

`\begin{gathered} 10\cdot35+15\cdot x=515 \\ 350+15x=515 \\ 15x=515-350 \\ 15x=165 \\ x=11 \end{gathered}`

She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.