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The drama club sold 1500 tickets for the end-of-the-year performance. Admission prices were $12 for adults and $6 for students. The total amount collected at the box office was $16,200.

Write a system of equations to determine the number of adult tickets, a, and the number of student tickets, s, the drama club sold.

How many students attend the play?
PLEASE INCLUDE THE EQUATIONS USED

Respuesta :

adioabiola

The system of equations to determine the number of adult tickets, a, and the number of student tickets, s, the drama club sold is a + s = 1500; 12a + 6s = 16,200. 300 students attended the play.

Simultaneous equation

  • number of adult tickets = a
  • number of student tickets = s

The system of equation:

a + s = 1500

a + s = 150012a + 6s = 16,200

From equation (1)

a = 1500 - s

Substitute into (2)

12a + 6s = 16,200

12(1500 - s) + 6s = 16,200

18,000 - 12s + 6s = 16200

- 12s + 6s = 16200 - 18,000

-6s = -1800

s = -1800 / -6

s = 300

Substitute s = 300 into (1)

a + s = 1500

a + 300 = 1500

a = 1500 - 300

a = 1200

Therefore, there are 300 students and 1200 adults at the play respectively.

Learn more about simultaneous equation:

https://brainly.com/question/16863577

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