If the cost of adult ticket is x and that of children ticket is y
Then 3x +y = $38
3x+2y =$52, solving simultaneously
we subtract the two equation,
-y = -14
thus; y =14
to get x we substitute y with 14
3x = 38-14
3x =24
x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14