Car Stars Auto Rental charges $35 a day plus $0.25 per mile. Car Express Auto Rental charges $17 a day plus $0.40 per mile.

What number of miles results in the same cost for one day?

A. 50 miles

B. 90 miles

C. 100 miles

D. 120 miles

X=number of miles

stars cost is 35+price for driving

price for driving=cost per mile times number oof miles

starts=35+0.25x

express is 17+0.4x

when will prices be equal?

set eaqual to each other

35+0.25x=17+0.4x

subtract 0.25x from both sides

35=17+0.15x

subtract 17 from both sides

18=0.15x

divide both sides by 0.15

120=x

answer is 120 miles

answer is D