SOLUTION: One car rental agency rents a van at a daily rate of ​$40.95 plus 37 cents per mile. Another company rents a van for ​$48.95 plus 27 cents per mile. Find the mileage fo

Algebra ->  Expressions-with-variables -> SOLUTION: One car rental agency rents a van at a daily rate of ​$40.95 plus 37 cents per mile. Another company rents a van for ​$48.95 plus 27 cents per mile. Find the mileage fo      Log On


   

Question 1046492: One car rental agency rents a van at a daily rate of ​$40.95 plus 37 cents per mile. Another company rents a van for ​$48.95 plus 27 cents per mile. Find the mileage for which the cost is the same. please show work and thank you.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Set the two equal
40.95+0.37x=48.95+0.27x, units are dollars
0.10x=8.00, by moving 0.27x to the left and 40.95 to the right and changing their sign
x=80 miles, multiplying both sides by 10 ANSWER
Check
40.95+29.60=70.55, 29.60 being 0.37*80
48.95+21.60=70.55. Checks