Question

A truck can be rented from Company A for ​$80 a day plus ​$0.30 per mile. Company B charges ​$20 a day plus ​$0.50 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 1

Write equations for both companies:

Company A = 80 + 0.30x

Company B = 20 + 0.50x

X = number of miles.

Set the equations to equal and solve for x:

80 + 0.30x = 20 + 0.50x

Subtract 0.30x from both sides:

80 = 20 + 0.20x

Subtract 20 from both sides:

60 = 0.20x

Divide both sides by 0.20:

x = 60 / 0.20

x = 300

The answer is 300 miles.