Answer :
Total number of ticket bought = 298
General admission ticket cost(each) = $6.50
Upper box ticket cost(each) = $10.00
Total amount spent = $2234.50
let
x = number of general admisssion tickets bought
y = number of upper box tickets bought.
Therefore,
[tex]\begin{gathered} x+y=298 \\ 6.50x+10y=2234.50 \end{gathered}[/tex][tex]\begin{gathered} x=298-y \\ \end{gathered}[/tex]Insert the value of x in equation(ii)
[tex]\begin{gathered} 6.50(298-y)+10y=2234.50 \\ 1937-6.50y+10y=2234.50 \\ 1937+3.50y=2234.50 \\ 3.50y=2234.50-1937 \\ y=\frac{297.5}{3.50} \\ y=85 \end{gathered}[/tex][tex]\begin{gathered} x+85=298 \\ x=298-85 \\ x=213 \end{gathered}[/tex]Number of general admission tickets purchase = 213
Number of upper box tickets purchased = 85