word problem

Johan rented a car freom Hertz,which rents its cars for a daily fee plus an additional charge per mile driven.John recalls that a car rented for 5 days and driven for 300 miles cost $178,while a car rented for 4 days and driven for 500 miles cost $197. Find the daily rate and mileage fee.

Hi. You can solve this with a system of equations.

Let D = day and M = miles

5D + 300M = 178
4D + 500M = 197

Use elimination to solve

that gives you D = 23 and M = (21/100)

so it is $23 a day, and $(21/100) per mile