The price of one senior ticket is $8 while the price of one child ticket is $14. To find the answer, form an equation to represent each instance. The first instance can be represented as 3x + y=38. X represents the senior tickets while y represents the child tickets. The second instance will be represented as 3x +2y = $52. Make y the subject of the equation in order to solve for x. To do this you represent y as 3x +2(38-3x)+52. Using this equation you solve for x to get 8. Once you get x, you substitute it on one of the equations in order to get y.