Answer:
Step-by-step explanation:
If in doubt, model the situations as a system of equations and then attempt to solve!
It'll let m be the number of miles in these equations.
Cost of A = 50 + 0.4m
Cost of B = 30 + 0.9m
Set these equations equal to each other to find what value of m makes them equal:
50 + 0.4m = 30 + 0.9m
Subtract 0.4m from both sides:
50 = 30 + 0.5m
Subtract 30 from both sides:
20 = 0.5m
Multiply both sides by 2:
40 = m
Therefore, the prices are equal at 40 miles.
