Answer:
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Step-by-step explanation:
Let [tex]x[/tex] be the number of student tickets sold.
Let [tex]y[/tex] be the number of adult tickets sold.
As per the question statement, total tickets sold are 40.
[tex]x +y =40 ...... (1)[/tex]
Price of each student ticket = $5
Sales from students' tickets = Price of each students ticket [tex]\times[/tex] Number of students tickets sold
Sales from student's tickets = 5 [tex]\times x[/tex]
Price of each adult ticket = $9
Sales from adult's tickets = Price of each adult's ticket [tex]\times[/tex] Number of adult tickets sold
Sales from student's tickets = 9 [tex]\times y[/tex]
Total sales is done by students and adult tickets is $240 as per the question statement.
[tex]\Rightarrow 5x + 9y = 240 ......(2)[/tex]
Solving equations (1) and (2) using elimination method:
Equation [tex](2) - 5 \times (1)[/tex] :
[tex]5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10[/tex]
Total number of adult tickets sold = 10
Putting [tex]y=10[/tex] in equation (1):
[tex]x+10 = 40\\\Rightarrow x = 30[/tex]
Total number of students tickets sold = 30
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
