Question

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 1

• x + y = 98
• 9x + 6y = 747

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Let the number of adult tickets be x and student tickets be y.

Set equations

Number of tickets:

• Adult tickets + student tickets = 98
• x + y = 98

Amount of revenue:

• Total of adult tickets = 9x, total of student tickets = 6y
• 9x + 6y = 747