Tickets for a carnival cost $12 for adults and $7 for kids. Total attendance for the first day of the carnival was 580 and total ticket sales were $4,860. How many of each ticket type were sold? A) 212 adult tickets, 368 kid's tickets B 103 adult tickets, 477 kid's ticketsh 765 adult tickets, -185 kid's tickets 160 adult tickets, 420 kid's tickets 7​

Respuesta :

Step-by-step explanation:

x = number of adult tickets

y = number of kid tickets

x + y = 580

x = 580 - y

12x + 7y = 4860

now we are using the transformed first equation in the second :

12(580 - y) + 7y = 4860

12×580 - 12y + 7y = 4860

6960 - 5y = 4860

2100 - 5y = 0

2100 = 5y

y = 2100/5 = 420

x = 580 - y = 580 - 420 = 160

so, whatever option that answer is in the your actual list of possible answers, but the right answer is

160 adult tickets

420 kid's tickets