Help me with math

Question

Michael will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $53 and costs an additional

$0.11 per mile driven. The second plan has an initial fee of $40 and costs an additional $0.16 per mile driven.

Answer 1

F= 53 +.11m

S=40+ .16m

53+.11m = 40 + .16m

.05m = 13

m = 13/.05 = 13(20) = 260 miles

both plans cost the same for 260 miles

First plan costs less if driving more than 260 miles

Second plan costs less if driving less than 260 miles