Let h = amount of hours
[tex] 7.5h=116.25 [/tex]
Since they earn $7.50 per hour, we can multiply that by an unknown amount of hours to get $116.25. Let's solve:
[tex] 7.5h=116.25 [/tex]
Divide both sides by 7.5 to isolate the h, amount of hours.
[tex] \frac{7.5h}{7.5}=\frac{116.25}{7.5} [/tex]
Simplify.
[tex] h=15.5 [/tex]
In conclusion, someone would have to work 15.5 hours to earn $116.25 if they earn $7.50 per hour.