Answer :
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:
[tex]\begin{gathered} 10\cdot35+15\cdot x=515 \\ 350+15x=515 \\ 15x=515-350 \\ 15x=165 \\ x=11 \end{gathered}[/tex]She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.