Car rental company A charges $13.00 per day plus $0.28 per mile. Car rental company B charges $25.00 per day plus $0.08 per mile. For what number of miles is the cost per day the same?

Answer 1

25 + 0.08x = 13 + 0.28x; 0.2x = 12; x = 60 miles

Answer 2

Let us denote the number of miles driven in a day by x. Then, we can translate Company A's daily cost to 13 + 0.28x. Similarly, Company B's cost daily cost is 25 + 0.08x.

Setting these two equations equal we get 13 + 0.28x = 25 + 0.08x. Solving for x, we see that 0.20x = 12, therefore x = 12/0.20 = 60 miles.