You spend $75 to go surfing. It costs $10 per day to rent a surfboard and $15 per day to rent a wetsuit. How many days did you rent the surfboard and wetsuit?

1 Answer
Mar 27, 2018

Answer:

The surfboard and wetsuit were rented for #3# days.

Explanation:

Let #C# represent the total money spent to go surfing. Moreover, let #d# represent the amount of days either a surfboard or wetsuit was represented.

Then, the cost of the surfboard is given by #10d,# the cost of the wetsuit by #15d,# and the total cost is the sum of the costs of the surfboard and wetsuit, or

#C=10d+15d#

#C=25d# (combine like terms)

We're told #C=75,# and we need to then find #d.#

#75=25d#

#d=75/25=3#

The surfboard and wetsuit were rented for #3# days.