Question

For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answer 1

The answer is:

`( c + a + s) = 5000\\\\(10c + 20a + 15s) = 72000\\\\c = 3s`

Explanation:

Ticket number sold = 5000

Ticket revenue Selling = 72,000 dollars

Kids 16 and younger tickets = $10

adults=$20

senior citizens= 60

Old = $15

Let:

Children's number, c ;

Ownership, a;

The aged, s,

Also at the event, there were 3 times many more kids as the senior citizens; c=3 total amount attendees= 5000

5,000= (c + a + s)

Total wages or income

72000= (10c + 20a + 15s)