Shawn's Rentals charges $27.50 per hour to rent a surfboard and a wet suit. Darla's Surf Shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit. For what total number of hours are the charges for Shawn's Rentals the same as the charges for Darla's Surf Shop?

Have x = the number of hours rented

so in order to find when they would be the same, set both equations equal to each other

27.50x=23.25x+17

first subtract the smaller (x) amount from the larger (x) amount

27.5x-23.25x=4.25x

4.25x=17

divide both sides by 4.25

x=4

after 4 hours would the rentals cost from both shops be the same