Hi

Let x represent the number of miles in one day:

Question Asks***  For what mileage is the cost the same?

  17.99 + .18x = 18.95 + .16x

Solve for x

    .02x = .96

       x = 48 mi



CHECKING our Answer***

  17.99 + .18*48 = 18.95 + .16*48 =  26.63 

Answer by Gersid(33)   (Show Source): You can put this solution on YOUR website!
 The charge for Avis is: 

A = 17.99 0.18M (M = number of miles)

For Hertz:

H = 18.95+0.16M 

Set A = H and solve for M

17.99+0.18M = 18.95+0.16M Subtract 0.16M from both sides.

17.99+0.02M = 18.95 Subtract 17.99 from both sides

0.02M = 0.96 Divide by 0.02

M = 48

The cost would be the same for 48 miles.  

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