Question

Primo car rental agency charges $47 per day plus $0.30 per mile Ultimo car rental agency charges $26 per day plus $0.95 per mile. Find the daily mileage for which the Ultimo charge is three times the Primo charge.

The mileage is​

Answer 1

The mileage is 2,300 miles

Explanation:

Let x be the number of miles driven.

Primo:

$47 per day

$0.30 per mile
`\rightarrow` $0.30x per x miles.

Total cost
`=\$(47+0.30x)`

Ultimo:

$26 per day

$0.95 per mile
`\rightarrow` $0.95x per x miles.

Total cost
`=\$(26+0.95x)`

If Ultimo charge is three times the Primo charge, then

`26+0.95x=3(47+0.30x)`

Solve this equation:

`26+0.95x=141+0.90x\\ \\0.95x-0.90x=141-26\\ \\0.05x=115\\ \\5x=11,500\\ \\x=2,300`