Answer:
Equation: [tex]8.5t+6.5=57.5[/tex]
Solution: [tex]t=6[/tex]
Step-by-step explanation:
Let be "t" the number of movie tickets bought by the group of friends.
According to the information given in the exercise, the price of each movie ticket is: $8.50.
Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:
[tex]8.5t[/tex]
You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:
[tex]8.5t+6.5[/tex]
Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:
[tex]8.5t+6.5=57.5[/tex]
Finally, you can solve for "t" in order to find the solution of the equation. This is:
[tex]8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6[/tex]
