SOLUTION: Solve by elimination method. Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $120 for 3 days and 300 miles, while Mary was charged $

Question 1161268: Solve by elimination method.
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $120 for 3 days and 300 miles, while Mary was charged $210 for 5 days and 600 miles. What does Best Rental charge per day and per mile?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= daily fee in $ per day
=mileage fee in $ per mile

For Barney, the equation is
.
Multiplying both sides of that equation times we get
.

For Mary, the equation is
.
Subtracting from the previous equation
(or multiplying times and combining equations we get
,
which simplifies to
.
We have "eliminated" variable to find the value for .
That was quite easy.
It would have been a lot more cumbersome to try the other way around.

Hopefully the elimination requirement is considered satisfied,
and we would be allowed to substitute into .
the value found for to get
,
which simplifies to

and solve going through
and
to get to
and .
So, the daily charge is per day, and
the mileage charge is per mile.
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