Explanation
Step 1
set the equations:
let x represents the number of adult tickets sold
let y represents the number of senior tickets sold
47 tickets were sold, hence
[tex]x+y=47\rightarrow Equation(1)[/tex]cost of adult ticket= $8
cost of senior ticket=$47
total revenue = $347
hence
[tex]\begin{gathered} 8x+7y=437\rightarrow Equation(2) \\ \end{gathered}[/tex]Step 2
solve the equations
[tex]\begin{gathered} x+y=47\rightarrow Equation(1) \\ 8x+7y=437\rightarrow Equation(2) \end{gathered}[/tex]a) isolate x in equation(1) and replace in equation (2)
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