Answer:
800 miles
Explanation:
Let the amount of miles = m
Company A charges a flat rate of $160 a day, and $0.60 per mile:
total = 0.60m + 160
Company B charges a flat rate of $80 a day, and $0.70 per mil:
total = 0.70m + 80
Set both equations equal to each other:
0.60m + 160 = 0.70m + 80
Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Subtract 0.70m and 160 from both sides:
0.60m (-0.70m) + 160 (-160) = 0.70m (-0.70m) + 80 (-160)
0.60m - 0.70m = 80 - 160
Simplify:
-0.10m = -80
Isolate the variable, m. Divide -0.10 to both sides:
(-0.10m)/(-0.10) = (-80)/(-0.10)
m = 80/0.10
m = 800
At 800 miles, the rental costs are the same.