Question

At the county fair adult’s tickets cost $5.50, senior citizen’s tickets cost $4.00, and children’s tickets cost$2.50. On opening day, receipts from ticket sales totaled $10,680. The number of children’s and seniors’ tickets sold was 60 more than half the number of adults’ tickets sold. The number of child tickets sold was 28 more than twice the number of senior tickets sold. How many of each ticket was sold? *

Answer 1

so, what do you know?
5.50a + 4.00s + 2.50c = 10680
c+s = 60 + a/2
c = 26+2s
Now just solve for the ticket counts.