Surf's Up charges $22 per hour to rent a surfboard and $8 per hour to rent a wetsuit. Marty and Cheryl paid a total of $240 to rent a surfboard and a wetsuit each for a few hours one day. Cheryl rented the surfboard and wetsuit for 2 hours less than Marty. The following equation represents this situation, where x represents the number of hours Marty rented the surfboard and the wetsuit.

22x + 8x + 22(x − 2) + 8(x − 2) = 240

What is the total amount Marty paid to rent the surfboard and wetsuit that day?

Question

Surf's Up charges $22 per hour to rent a surfboard and $8 per hour to rent a wetsuit. Marty and Cheryl paid a total of $240 to rent a surfboard and a wetsuit each for a few hours one day. Cheryl rented the surfboard and wetsuit for 2 hours less than Marty. The following equation represents this situation, where x represents the number of hours Marty rented the surfboard and the wetsuit.

22x + 8x + 22(x − 2) + 8(x − 2) = 240

What is the total amount Marty paid to rent the surfboard and wetsuit that day?

mertsj · Answer

30x+22x-44+8x-16=240
60x-60=240
60x=300
x=5
So Marty rented the surfboard and wetsuit for 5 hours and paid 22(5)=8(5)=$150