SOLUTION: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs 57.98 for two days plus 13 cents per mile. The second plan costs 45.98 for two da

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs 57.98 for two days plus 13 cents per mile. The second plan costs 45.98 for two da      Log On


   

Question 177402: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs 57.98 for two days plus 13 cents per mile. The second plan costs 45.98 for two days plus 18 cents per mile. How many miles does Bob need to drive for the two plans to cost the same?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so we need to write the equations out and then set them equal to each other
:
plan 1 C=.13(m)+57.98
plan 2 C=.18(m)+45.98
:
C is the total cost and m represents miles driven
:
now setting these equal to each other
:
.13m+57.98=.18m+45.98
:
.05m=12
:
highlight%28m=240%29miles for the 2 plans to be equal Cost