SOLUTION: Safety Rent-a-Car rents an intermediate-size car at a daily rate of $21.95 plus .19 per mile. City Rentals rent an intermediate-size car for $18.95 plus .21 per mile. For what mila

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Safety Rent-a-Car rents an intermediate-size car at a daily rate of $21.95 plus .19 per mile. City Rentals rent an intermediate-size car for $18.95 plus .21 per mile. For what mila      Log On


   

Question 37665This question is from textbook
: Safety Rent-a-Car rents an intermediate-size car at a daily rate of $21.95 plus .19 per mile. City Rentals rent an intermediate-size car for $18.95 plus .21 per mile. For what milage is the cost 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.
Then we convert the facts of the problem into algebra and get:
21.95 + .19x = 18.95 + .21x
Let us multiply everything by 100 to get rid of decimals...
2195 + 19x = 1895 + 21x
Now subtract 19 x from both sides
2195 = 1895 + 2x
Now subtract 1895 from both sides and then divide by two...
300 = 2x
x = 150 miles