Middle school math

Question

 Write and solve an equation to find the number of miles you must drive to have the same cost for each of the car rentals. Car A is $20 plus $0.50 per mile and Car B is $30 plus $0.25 per mile. Let m represent the number of miles.

Answer 1

20+.5m=30+.25m

.25m=10m=4

Answer 2

Let a = 20 + .5m and b = 30 +.25m, with m being the number of miles. Since we want to see how many miles we need to drive for the vehicle cost to be equal, we simply set the two equations equal to each other and solve for m.

1. 20 + .5m = 30 + .25m
2. .25m = 10
3. m = 40

So, after 40 miles the cost of each vehicle will be the same.