Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $ 233.50. On her second business trip she drove 200 miles in 3 days, and paid $ 149.00 for the rental. Find the daily fee, and find the mileage charge.

Question

Mathematics

Cedric Atkinson

25 January, 11:45

Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $ 233.50. On her second business trip she drove 200 miles in 3 days, and paid $ 149.00 for the rental. Find the daily fee, and find the mileage charge.

+3

Answers (1)

Know the Answer?

Braden Duke · Answer 1

Day rate: x

Charge per mile: y

4x+450y=233.5

3x+200y=149

12x+1350y=700.5

12x+800y=596

First equation minus the second equation

550y=103.5

Y=207/1100=0.188182

X = (149-414/11) / 3=37.1212