Question

Nathan and Connor want to take a road trip and they are going to rent a car. Vroom Vroom car rental agency charges $50 one-time fee and $0.35 per mile. Bon Voyage car rental agency charges $75 one-time fee and $0.25 per mile. For what number of miles driven are the car rental agencies charging the same amount?

Answer 1

50 + .35x = 75 + .25x

.1x = 25

25 divided by .1 is 250

going back and checking my work: 

50 + .35 (250) = 137.5

75 + .25(250) = 137.5

So the answer is 250 miles