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

Answer:

The answer is:

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

Step-by-step 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)