City Cab Company charges $3.50 a ride plus $2.00 per mile traveled. Metro Cab Company charges $1.50 a ride plus $2.50 per mile traveled. Write and solve an equation to find the number of miles for which the total cost is the same for both taxi companies.

Question

City Cab Company charges $3.50 a ride plus $2.00 per mile traveled.  Metro Cab Company charges $1.50 a ride plus $2.50 per mile traveled.  Write and solve an equation to find the number of miles for which the total cost is the same for both taxi companies.

oobleck · Accepted Answer

3.50 + 2.00x = 1.50 + 2.50x Now just solve for x