Question

a movie theater charges $8 for adults and $7 for seniors, at one showing of frozen 2 they sold 47 tickets at a total revenue of $347, how many of each ticket did they sell

Answer 1

Step-by-step 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

`x+y=47\rightarrow Equation(1)`

cost of adult ticket= $8

cost of senior ticket=$47

total revenue = $347

hence

`\begin{gathered} 8x+7y=437\rightarrow Equation(2) \\ \end{gathered}`

Step 2

solve the equations

`\begin{gathered} x+y=47\rightarrow Equation(1) \\ 8x+7y=437\rightarrow Equation(2) \end{gathered}`

a) isolate x in equation(1) and replace in equation (2)