Question

Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.

a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.

b. Solve the system you create to find the exact number of student tickets sold and adult tickets solve.

c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Answer 1

Answer:

Adult ticket = 80

Children ticket = 120

Step-by-step explanation:

Given that :

Cost of student ticket = $8

Cost of adult ticket = $10

Number of tickets sold = 200

Total amount collected = $1760

Let number of adult ticket sold = a ; children ticket = b

a + b = 200 _-_(1)

10a + 8b = 1760 ___(2)

a = 200 - b

10(200 - b) + 8b =. 1760

2000 - 10b + 8b = 1760

- 2b = 1760 - 2000

-2b = -240

b = 120

a = 200 - b

a = 200 - 120

a = 80