SOLUTION: A truck can be rented from Company A for ​$70 a day plus ​$0.60 per mile. Company B charges ​$5050 a day plus ​$0.70 per mile to rent the same truck. Find t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A truck can be rented from Company A for ​$70 a day plus ​$0.60 per mile. Company B charges ​$5050 a day plus ​$0.70 per mile to rent the same truck. Find t      Log On


   

Question 1096532: A truck can be rented from Company A for ​$70 a day plus ​$0.60 per mile. Company B charges ​$5050 a day plus ​$0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let m = no. of miles
A truck can be rented from Company A for ​$70 a day plus ​$0.60 per mile.
A Cost = .6m + 70
Company B charges ​$50 a day plus ​$0.70 per mile to rent the same truck.
B cost = .7m + 50
Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
.7m + 50 = .6m + 70
.7m - .6m = 70 - 50
.1m = 20
m = 20/.1
m = 200 miles they cost the same
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Check this find the actual cost of each
.6(200) + 70 = $190
.7(200) + 50 = $190