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Brenna is in the orchestra at her school. Both the orchestra and the band, along with any parents who want to go, are taking a field trip to a symphony. The orchestra purchases $24$ student tickets and $8$ adult tickets for $\$512$. The band purchases $30$ student tickets and $15$ adult tickets for $\$765$. This system of equations can be used to represent the situation:$\newline$$$24x + 8y = 512$$$\newline$$$30x + 15y = 765$$$\newline$Which statement is correct?$\newline$(A) In the system of equations, $x$ represents the price of an adult ticket, and $y$ represents the price of a student ticket.$\newline$(B) In the system of equations, $x$ represents the total amount the band and orchestra spend on adult tickets, and $y$ represents the total amount they spend on student tickets.$\newline$(C) In the system of equations, $x$ represents the total amount the band and orchestra spend on student tickets, and $y$ represents the total amount they spend on adult tickets.$\newline$(D) In the system of equations, $x$ represents the price of a student ticket, and $y$ represents the price of an adult ticket.$\newline$What is the total amount of money the band and orchestra spend on student tickets?$\newline$$8$$4$$8$$5$