X = children
Y = adult
6.40x + 9.60y = 1305.60
x + y =160
x=160-y
6.40(160-y) + 9.60y = 1305.60
1024 + 6.40y +9.60y = 1305.60
1024 = 3.2y = 1305.60
3.2y = 281.6
Y = 281.6/3.2 = 88
So 88 adult tickets were sold
Double check now
X = 160-y
X=160-88 = 72
6.40 x 72 = 460.80
9.60 x 88 = 844.80
844.80 + 460.80 = 1305.60 this checks
88 + 72 = 160 this checks