SOLUTION: Cheap Truck rentals charges $15/day plus 0.12 cents per mile. Trucks 4 Less charges $20/day plus 0.10 cents per mile. How many miles would you need to drive in order for the cost

Algebra ->  Linear-equations -> SOLUTION: Cheap Truck rentals charges $15/day plus 0.12 cents per mile. Trucks 4 Less charges $20/day plus 0.10 cents per mile. How many miles would you need to drive in order for the cost      Log On


   



Question 437425: Cheap Truck rentals charges $15/day plus 0.12 cents per mile. Trucks 4 Less charges $20/day plus 0.10 cents per mile. How many miles would you need to drive in order for the cost of both rental companies be the same and what would that cost be?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = miles driven
Let C = rental cost
given:
Cheap Truck:
C+=+15+%2B+.12m+
Trucks 4 Less:
C+=+20+%2B+.1m+
Set the costs equal to each other
+15+%2B+.12m+=+20+%2B+.1m+
+.02m+=+5+
+m+=+250+
The costs are the same driving 250 miles
check:
C+=+15+%2B+.12m+
C+=+15+%2B+.12%2A250+
C+=+15+%2B+30+
C+=+45+
and
C+=+20+%2B+.1m+
C+=+20+%2B+.1%2A250+
C+=+20+%2B+25+
C+=+45+
OK