SOLUTION: Twice last month, Judy Carter rented a car from Enterprise in Fresno, California, and traveled around the southwest on business. Enterprise rents its cars for a daily fee, plus an

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Question 520665: Twice last month, Judy Carter rented a car from Enterprise in Fresno, California, and traveled around the southwest on business. Enterprise rents its cars 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 $240.50. One her second business trip she drove 200 miles in 3 days, and paid $146.00 for the rental. Fnd the daily fee and the mileage charge.
I get so confused in all these numbers. How do I set up my equation?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = daily fee in dollars
Let = milage charge in dollars
In words:
( Cost of rental ) = ( number of days rented )x( daily fee ) + ( miles driven )x( milage fee )
For her first trip:
(1)
For her 2nd trip:
(2)
-------------------------
Multiply both sides of (1) by
Multiply both sides of (2) by ,
Then subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
(2)
(2)
(2)
The rental cost is $32/day and $.25/mile
check answer:
(1)
(1)
(1)
(1)
OK