Question

Hans will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.96 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $45.96 and costs an additional $0.14 per mile driven. How many miles would Hans need to drive for the two plans to cost the same?

Answer 1

X- the miles Hans is driving
51,96+0,12*x=45,96+0,14*x
51,96-45,96=0,14x-0,12x
6=0,02x
x=6:0,02
x=300 miles