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fomenos
3 years ago
5

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

s $660. a permit purchased for 15 months costs $810. what is the administration fee?
Mathematics
2 answers:
ELEN [110]3 years ago
5 0
The general equation that may be used to determine the total cost of the parking permit,
                                       P = A + mt
where P is the total cost, A is the administration fee, m is the monthly fee and t is the number of months. Substituting the known values to the equation,   
                  (1)       660 = A + 12m
                  (2)       810 = A + 15 m

Solving for the solutions of the equation gives A = 60 and m = 50. Thus, the administration fee is $60.
julsineya [31]3 years ago
4 0

let

x--------> the monthly fee

y--------> the administration fee

we know that

660=y+12x --------> equation 1

810=y+15x --------> equation 2

Multiply by -1 equation 1

-660=-y-12x ------> equation 3

Adds equation 2 and equation 3

810=y+15x\\-660=-y-12x\\---------\\   810-660=15x-12x\\ 3x=150\\ x=50\ dollars

Find the value of y

660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars

therefore

the answer is

the administration fee is equal to 60\ dollars

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