Question

Car A costs 22000 to purchase and average of $.12 per mile to maintain. Car B costs 24500 to purchase and an average $.10 per mile to maintain. How many miles must be driven for the total cost of the two models to be the same?

Answer 1

First car cost                    =      Second car cost
$22000+($0.12/mile)x      =      $24500 + ($0.10/mile)x

Group like terms:
                                                                 $2500
$2500 = ($0.02) x, which results in   x = ----------- = 125000 miles.
                                                                  $0.02