Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Buddy's Rental Car charges an initial fee of $36 plus an additional $28 per day. For what number of days is the total cost charged by the companies the same?

First, Make 2 equations to show each company in which "x" equals the number of days:

Andy's Rental Car = 20 + (30x)

Buddy's Rental Car = 36 + (28x)

Set it up like this:

20 + (30x) = 36 + (28x)

Now, solve for x by simplifying both sides of the equation and then isolating the variable.

x = 8

8 Days