Question

David wants to rent a car for one day. She contacted two rental car companies. The first company charges $100 a day plus $1 a mile. The second company charges $75 a day plus $2 a mile. At many miles will the total cost for both companies be the same?

Answer 1

25 miles.

Explanation:

First, it would help to write out the problem as equations.

The first company: 1x+100

The second company: 2x+75

Where 'x' is the number of miles.

Then, just solve for the two equations when they equal each other.

1x+100=2x+75 Equation

100=x+75 Subtract 1x from both sides.

25=x Subtract 75 from both sides.