Question

Bill wants to rent a car. Rental company A charges $35 per day plus $0.10 per mile driven. Rental company B charges $25 per day plus $0.15 per mile driven. After how many miles driven will the price charged by each company be the same?

Answer 1

35 + 0.10m = 25 + 0.15m
35 - 25 = 0.15m - 0.10m
10 = 0.05m
10 / 0.05 = m
200 = m.....the price will be the same at 200 miles...they will both cost : $ 55

Answer 2

200 miles.

Explanation:

Let m represent number of miles.

We have been given that rental company A charges $35 per day plus $0.10 per mile driven. So total cost of m miles by company A would be
`0.10m+35`.

We are also told that rental company B charges $25 per day plus $0.15 per mile driven. So total cost of m miles by company B would be
`0.15m+25`.

To find the number of miles that will result in same rental, we will equate both expressions and solve for m.

`0.15m+25=0.10m+35`

`0.15m-0.10m+25=0.10m-0.10m+35`

`0.05m+25=35`

`0.05m+25-25=35-25`

`0.05m=10`

`(0.05m)/(0.05)=(10)/(0.05)`

`m=200`

Therefore, after 200 miles the prices charged by each company would be the same.