Problema Solution

Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $75 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Tony need to drive for the two plans to cost the same?

Answer provided by our tutors

Let 'x' be the number of miles that tony passed


First Plan: initial fee of $75 and costs an additional $0.40 per mile driven thus the total money spent will be


75 + 0.40x


Second Plan: no initial fee but costs $0.60 per mile driven thus the total money spent will be


0.60x


we want the two plans to cost the same


75 + 0.40x = 0.60x


by solving the equations we find


x = 75/(0.60 - 0.40)


x = 375 miles


Tony needs to drive 375 miles for the two plans to cost the same.