Question

primo car rental agency charges $33 per day plus $0.20 per mile. ultimo car rental agency charges $17 per day plus $0.85 per mile. Find the daily mileage for which the ultimo charge is four times the primo charge

Answer 1

Let's assume m represent the mileage of the car.

Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.

So, the total charge for this agency = 33 + 0.20m.

Similarly total charge of the ultimo car = 17 + 0.85m.

Now we need to find the daily mileage for which the ultimo charge is four times the primo charge . So, we can set up an equation as following:

17 + 0.85m = 4 *( 33 + 0.20m )

17 + 0.85m = 132 + 0.80m By distribution property.

17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.

17 + 0.05m = 132

17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.

0.05m = 115

$\frac{0.05m}{0.05} =\frac{115}{0.05}$ Divide each by 0.05.

So, m = 2300

Hence, the daily mileage is 2300 miles.

Hope this helps you!