The alpha cab company charges an initial fee of $3.50 plus $0.25 for each 1/3 mile traveled. The beta cab company charges a fee of $4.50 for the first mile plus $0.20 for each additional 1/2 mile traveled. Marie took a ride in an alpha cab for a distance of 12 miles. If she had taken a ride in a beta cab and spent the same amount of money, how many miles could she have traveled?
a)24
b)23
c)22
d)21
e)20

Question

The alpha cab company charges an initial fee of $3.50 plus $0.25 for each 1/3 mile traveled. The beta cab company charges a fee of $4.50 for the first mile plus $0.20 for each additional 1/2 mile traveled. Marie took a ride in an alpha cab for a distance of 12 miles. If she had taken a ride in a beta cab and spent the same amount of money, how many miles could she have traveled?
a)24
b)23
c)22
d)21
e)20