SOLUTION: Sunshine Car Rentals rents a basic car at a daily rate of $17.99 plus .18 per mile. City Reantals rents a basic car at $18.95 plus .16 per mile. For what mileage is the cost be the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sunshine Car Rentals rents a basic car at a daily rate of $17.99 plus .18 per mile. City Reantals rents a basic car at $18.95 plus .16 per mile. For what mileage is the cost be the      Log On


   

Question 37666This question is from textbook
: Sunshine Car Rentals rents a basic car at a daily rate of $17.99 plus .18 per mile. City Reantals rents a basic car at $18.95 plus .16 per mile. For what mileage is the cost be the same? This question is from textbook

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of miles driven.
Then change the English into algebra giving us the equation
17.99 + .18x = 18.95 + .16x
Now multiply everything by 100 to clear the decimals
1799 + 18x = 1895 + 16x
Now subtract 16x and 1799 from both sides
1799 + 2x = 1895
2x = 96
so that x = 48 miles