Question

You bought 5 movie tickets for you and your friends and popcornfor $5.75. You spent a total of $38.25. How much was each ticket?Write an algebraic equation using the variable, m, to represent thecost of each movie tickets you bought. Then solve.

Answer 1

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:

`5m+5.75=38.25.`

Subtracting 5.75 from the above equation we get:

`\begin{gathered} 5m+5.75-5.75=38.25-5.75, \\ 5m=32.5. \end{gathered}`

Finally, dividing the above equation by 5 we get:

`\begin{gathered} (5m)/(5)=(32.5)/(5), \\ m=6.5. \end{gathered}`

Answer:

Equation:

`5m+5.75=38.25.`

Each ticket costs $6.50.