Tickets to a movie cost $7.25 for adult and $5.50 for students. a group of friends purchased 8 tickets for $52.75. write a system of equation to represent this situation

To make it easier, let's use A for adult and S for student for our variables, any letter can be used though!
The coefficient represents the price of the ticket for the variable or person.
7.25a+5.50s=T <- That is the total for any number of adults and students, in this case the total is 52.75 so we can write that instead.
7.25a+5.50s=52.75. This is the first part of our system.
Then for the second part, we want to know how many people of each kind went, so that means that some number of adults plus some number of students is equal to 8, and we will write this as a+s=8.

That is our system: 
a+s=8
7.25a+5.50s=52.75

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