Question

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?

Answer 1

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.