Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket

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