Question

San Pablo is having a festival. Tickets for children under 12 cost $2, adult tickets are $6 and senior citizen tickets are $3. One sixth of the tickets sold were children’s tickets. The 40 senior citizens with tickets sat in the shade under the trees and watched the children play. Half the people attending the festival purchased adult tickets. How much money was collected from ticket sales?

Answer 1

X tickets sold.
x/6 children's tickets.
40 seniors tickets.
X/2 adult tickets.

x/6 + 40 + x/2 = X.
x/6 + 40 + 3x/6 = x,
4x/6 - x = -40,
-2x/6 = -40,

X = 120.
x/6 = 120/6 = 20.
x/2 = 120/2 = 60

2*20 + 3*40 + 6*60 = $520 Collected.