SOLUTION: Jamie is considering two different car rental agencies for one-day rental. One service offers $30 per day and 0.25 per mile. The other service offers $40 per day and 0.20 per mile.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jamie is considering two different car rental agencies for one-day rental. One service offers $30 per day and 0.25 per mile. The other service offers $40 per day and 0.20 per mile.      Log On


   

Question 970733: Jamie is considering two different car rental agencies for one-day rental. One service offers $30 per day and 0.25 per mile. The other service offers $40 per day and 0.20 per mile. At what number of miles is the cost for the two services equal?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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A=Total cost for $30 a day service
B=Total cost for $40 a day service
m=mileage
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A=$30+$0.25m
B=$40+$0.20m
Cost is the same when A+B:
A=B
$30+$0.25m=$40+$0.20m Subtract ($30+$0.20m) from each side.
$0.05m=$10 Divide each side by $0.05
m=200
ANSWER: The two services cost the same when the mileage is 200 miles.