Question

A suspect has two months of unpaid fees. One month they had 3 parking tickets and 14 traffic violations totaling $2030.The second month they had 11 parking tickets and 11 traffic violations totaling $2200 . How much does each parking ticket cost? How much does each traffic violation cost?

Answer 1

To calculate the cost of parking tickets and traffic violations, you need to know the number of tickets and the total amount of fines. Then you can divide the total amount by the number of tickets to get the cost per ticket.

For example, in the first month, the suspect had 3 parking tickets and 14 traffic violations totaling $2030. The total number of tickets is 3 + 14 = 17. The cost per ticket is $2030 / 17 = $119.41.

In the second month, the suspect had 11 parking tickets and 11 traffic violations totaling $2200. The total number of tickets is 11 + 11 = 22. The cost per ticket is $2200 / 22 = $100.

Therefore, each parking ticket costs $119.41 in the first month and $100 in the second month. Each traffic violation costs $119.41 / 14 = $8.53 in the first month and $100 / 11 = $9.09 in the second month.

I hope this helps!

Explanation:

Answer 2

Ok, sure.

Explanation:

Let's denote the cost of a parking ticket as "P" and the cost of a traffic violation as "T".

From the information provided, we can create the following equations:

Equation 1: 3P + 14T = 2030 (for the first month)

Equation 2: 11P + 11T = 2200 (for the second month)

We now have a system of equations to solve. We can use various methods to find the values of P and T.

One common method is to use substitution. We can solve Equation 1 for P and substitute it into Equation 2:

From Equation 1, we can isolate P:

3P = 2030 - 14T

P = (2030 - 14T) / 3

Substituting P into Equation 2:

11((2030 - 14T) / 3) + 11T = 2200

Now, we can solve this equation to find the value of T.

11(2030 - 14T) + 33T = 6600

22330 - 154T + 33T = 6600

22330 - 121T = 6600

-121T = 6600 - 22330

-121T = -15730

T = -15730 / -121

T ≈ 130

Now that we have the value of T, we can substitute it back into Equation 1 to find the value of P:

3P + 14(130) = 2030

3P + 1820 = 2030

3P = 2030 - 1820

3P = 210

P = 210 / 3

P = 70

Therefore, each parking ticket costs $70, and each traffic violation costs $130.