A rental car company charges $25.75 per day plus 30 cents per mile after the first 100 miles. Another rental car company charges $32.95 per day with unlimited miles. Estimate the number of miles you need to drive to make the cost the same from both companies.

let distance covered = x miles

cost:

25.75 + 0.3(x-100) = 32.95

=> 0.3 x = 37.2

=> x = 124 miles