Respuesta :
To answer this question we will set and solve a linear equation.
Let m be the cost (in dollars) of each movie ticket.
Since you bought 5 movie tickets and one popcorn that cost $5.75 for a total of $38.25, then we can set the following equation:
[tex]5m+5.75=38.25.[/tex]Subtracting 5.75 from the above equation we get:
[tex]\begin{gathered} 5m+5.75-5.75=38.25-5.75, \\ 5m=32.5. \end{gathered}[/tex]Finally, dividing the above equation by 5 we get:
[tex]\begin{gathered} \frac{5m}{5}=\frac{32.5}{5}, \\ m=6.5. \end{gathered}[/tex]Answer:
Equation:
[tex]5m+5.75=38.25.[/tex]Each ticket costs $6.50.
