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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $\$ 6$ and each adult ticket sells for $\$ 9$. There was a total of $\$ 747$ in revenue from the sale of 98 total tickets. Write a system of equations that could be used to determine the number of student tickets sold and the number of adult tickets sold. Define the variables that you use to write the system.
Answer Attempt 1 out of 2
Let $\square=$
Let $\square=$

System of Equations:

Step 1 ：Define two variables, \(s\) for the number of student tickets sold and \(a\) for the number of adult tickets sold.

Step 2 ：Write the first equation derived from the total number of tickets sold, which is \(s + a = 98\).

Step 3 ：Write the second equation derived from the total revenue, which is \(6s + 9a = 747\).

Step 4 ：The system of equations is: \[s + a = 98\] \[6s + 9a = 747\]

Step 5 ：Solve the system of equations to find the values of \(s\) and \(a\).

Step 6 ：The solution is \(a = 53, s = 45\).

Step 7 ：Final Answer: The number of adult tickets sold is \(\boxed{53}\) and the number of student tickets sold is \(\boxed{45}\).