The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was collected. Write a system on equations to represent the situation. Then solve the system of equations by substitution. Explain what the solution means.

-> a + c = 1250 (1)

-> 8a + 5c = 7300 (2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 (1)

-> 8a + 5c = 7300 (2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c (3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

$1,174.44

Step-by-step explanation:

- Three year period will have 36 payments, then the total payment is $7,174.44

- In which $6,000 is the balance of credit card at beginning

- The total interest paid over the 03 years is $1,174.44 = $7,174.44 - $6,000