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

Answer Link

windyyork windyyork · Answer 2 · 2019-09-03T09:08:17+02:00

Answer: There are 4 hours at which the charges for Shawn's Rentals the same as the charges for Darla's Surf Shop.

Step-by-step explanation:

Since we have given that

Rental charges for Shawn per hour = $27.50

Rental charges for Darla per hour = $23.25

Extra charge for a wetsuit = $17

Let the number of hours be 'x'.

According to question,

Shawn's equation would be

[tex]\$27.50x[/tex]

Darla's equation would be

[tex]23.25x+17[/tex]

Since he charges for Shawn's Rentals the same as the charges for Darla's Surf Shop:

So, it becomes

[tex]27.50x=23.25x+17\\\\27.50x-23.25x=17\\\\4.25x=17\\\\x=\dfrac{17}{4.25}\\\\x=4\ hours[/tex]

Hence, there are 4 hours at which the charges for Shawn's Rentals the same as the charges for Darla's Surf Shop.