Answer:
[tex]\mathsf{x=\dfrac{35}{2}}[/tex] or [tex]\mathsf{x=17.5}[/tex]
Step-by-step explanation:
Given:
Let x = number of hours worked
⇒ 6.5x = 113.75
[tex]\implies \mathsf{x=\dfrac{113.75}{6.5}}[/tex]
[tex]\implies \mathsf{x=\dfrac{35}{2}}[/tex]
[tex]\implies \mathsf{x=17.5}[/tex]