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Primo car rental agency charges ​30 dollars per day plus ​0.25 dollars per mile. Ultimo car rental agency charges ​20 dollars per day plus 0.80 dollars per mile. Find the daily mileage for which the Ultimo charge is three times the Primo charge.

 Feb 20, 2021
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Let m be the number of miles driven.

 

Primo: 30 + 0.25m

 

Ultimo: 20 + 0.8m

 

The Ultimo charge is three times the Primo charge:

 

20 + 0.8m = 3(30 + 0.25m)

20 + 0.8m = 90 + 0.75m

0.05m = 70

 

m = 1400 miles

 Feb 20, 2021

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