Question

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810. What is the administration fee?

Answer 1

Let

c = cost

a = administration fee

m = monthly fee

n = number of months

c = nm + a

660 = 12m + a  ------- (i)

810 = 15m + a -------- (ii)

Subtract (ii) from (i)

-150 = -3m

m = 50

From (i) 

660 = 12m + a

660 = 12(50) + a

a = 660 - 12(50)

a = 60



The administration fee = $60

Answer 2

Answer:

Step-by-step explanation:

Let

c = cost

a = administration fee

m = monthly fee

n = number of months

c = nm + a

660 = 12m + a ------- (i)

810 = 15m + a -------- (ii)

Subtract (ii) from (i)

-150 = -3m

m = 50

From (i)

660 = 12m + a

660 = 12(50) + a

a = 660 - 12(50)

a = 60

The administration fee = $60