Question

Shawns rentals charges $27.50 per hour to rent a surfboard and a wet suit. Darlas 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 Shawns rentals the same as the charges for Darlas surf shop?

Answer 1

4 hours

Explanation:

For this, we can set up an equation

We can name the total number of hours x.

So the price for Shawns rentals would be as follows:

27.50x

and Darlas surf shop would be:

23.25x+17

Now, we put these into an equation.

We are trying to find for what number of x will the charges be equal, so we can make this equation:

27.50x=23.25x+17

Now we get the variables on one side, and the numerical values on the other.

We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)

4.25x=17

Divide both sides by 4.25.

x=4

You would rent the equipment for 4 hours to make the charges equal.