Assume that the number of student tickets is x
Since the student tickets are fewer than the adult tickets by 67
So the adult tickets = x + 67
Since their sum is 483, so add them and equate the sum by 483
[tex]x+x+67=483[/tex]Now we have an equation to solve it
Add the like terms
[tex]2x+67=483[/tex]Subtract 67 from both sides
[tex]\begin{gathered} 2x-67+67=483 \\ 2x=416 \end{gathered}[/tex]Divide both sides by 2
[tex]\begin{gathered} \frac{2x}{2}=\frac{416}{2} \\ x=208 \end{gathered}[/tex]The number of student tickets is 208
To find the number of adult tickets add 67 to 208
208 + 67 = 275
The number of adult tickets is 275
There were 275 adult ticket sold