SOLUTION: Rani hired a bike for a ride. It cost $8 for two hours, and then $3 for every additional hour. Her ride cost $23. How long did Rani hire the bike? I've worked out that she hir

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Rani hired a bike for a ride. It cost $8 for two hours, and then $3 for every additional hour. Her ride cost $23. How long did Rani hire the bike? I've worked out that she hir      Log On


   



Question 1016809: Rani hired a bike for a ride.
It cost $8 for two hours, and then $3 for every additional hour. Her ride cost $23.
How long did Rani hire the bike?
I've worked out that she hired the bike for 7 hours (23 - 8 = 15 and then 15/3 = 5)
I need help on showing my working of how I got my answer using algebraic methods.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rani hired a bike for a ride.
It cost $8 for two hours, and then $3 for every additional hour. Her ride cost $23.
How long did Rani hire the bike?
I've worked out that she hired the bike for 7 hours (23 - 8 = 15 and then 15/3 = 5)
---------------------
Let x be the total # of hours.
------------------------
Cost = 8 + 3(x-2)
23 = 8 + 3(x-2)
15 = 3(x-2)
5 = x-2
x = 7 hrs
----------
Cheers,
Stan H.