Question

Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $ 123.00 for 3 days and 300 miles, while Mary was charged $ 216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage?

Answer 1

x is daily fee, y is mileage fee
3x +300y = 123
5x +600y = 216
use elimination
multiply top by -2
-6x -600y = -246
5x +600y = 216
_____________________
-x +0 = -30
x = 30
find y by replacing x with 30
3(30) +300y = 123
300y = 123-90 = 33
y = 33/300 = 11/100

Answer 2

11/100 = 0.11
so 11 cents per mile