Answer:
<em>Total number of adult tickets sold = 10</em>
<em>Total Number of Students tickets sold = 30</em>
Step-by-step explanation:
Let
be the number of student tickets sold.
Let
be the number of adult tickets sold.
As per the question statement, total tickets sold are 40.
![x +y =40 ...... (1)](https://tex.z-dn.net/?f=x%20%2By%20%3D40%20......%20%281%29)
Price of each student ticket = $5
Sales from students' tickets = Price of each students ticket
Number of students tickets sold
Sales from student's tickets = 5 ![\times x](https://tex.z-dn.net/?f=%5Ctimes%20x)
Price of each adult ticket = $9
Sales from adult's tickets = Price of each adult's ticket
Number of adult tickets sold
Sales from student's tickets = 9 ![\times y](https://tex.z-dn.net/?f=%5Ctimes%20y)
Total sales is done by students and adult tickets is $240 as per the question statement.
![\Rightarrow 5x + 9y = 240 ......(2)](https://tex.z-dn.net/?f=%5CRightarrow%205x%20%2B%209y%20%3D%20240%20......%282%29)
Solving equations (1) and (2) using elimination method:
Equation
:
![5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10](https://tex.z-dn.net/?f=5x%20%20%2B%209y%20-5x-5y%20%3D%20240-200%5C%5C%5CRightarrow%204y%20%3D%2040%5C%5C%5CRightarrow%20y%20%3D10)
Total number of adult tickets sold = 10
Putting
in equation (1):
![x+10 = 40\\\Rightarrow x = 30](https://tex.z-dn.net/?f=x%2B10%20%3D%2040%5C%5C%5CRightarrow%20x%20%3D%2030)
Total number of students tickets sold = 30
<em>Total number of adult tickets sold = 10</em>
<em>Total Number of Students tickets sold = 30</em>