$25 for adults (x)
$14 for senior citizens (y)
$10 for children under 12 (z)
x= number of adults
tickets sold = 792
x + y+ z = 792
Revenue = $12,800
25x + 14y + 10z = 12800
There were 41 more children than adults.
x + 41 = z
792 - ( x + x + 41 ) = 792 - (2x + 41 ) = 751 - 2x ( number of senior tickets)
25x + 14 (751-2x) + 10 (x+41) = 12,800
25x + 10514- 28x + 10x + 410 = 12800
25x - 28x + 10x = 12800 - 10514 - 410
7x = 1876
x= 1876/7
x= 268 (number of adult tickets)
number of children tickets:
z = x +41 = 268 +41 = 309