Answer:
[tex]70[/tex] tickets were sold to student and [tex]130[/tex] tickets were sold to adults
Explanation:
Let the number of tickets purchased by students be "X" and the number of tickets purchased by adults be "Y"
Given
Total number of tickets sold [tex]= 200[/tex]
Total amount collected by selling [tex]200[/tex] tickets [tex]= 1485[/tex] dollar
Cost of one ticket of student [tex]= 4.5[/tex] dollar
Cost of one ticket of adult [tex]=[/tex] 9 dollar
Two equation are as follows
[tex]X + Y = 200\\[/tex] ------Eq (1)
[tex]4.5 X + 9 Y =1485[/tex] -------- Eq (2)
Multiplying eq (1) by 9 and subtracting from equation 2 we get
[tex]4.5 X - 9 X + 9Y -9Y = 1485 - (200* 9)\\-4.5 X = -315\\X = 70[/tex]
Substituting the value of X in equation 1 we get
[tex]70 + Y = 200\\Y = 200 -70 \\Y = 130[/tex]
Therefore, [tex]70[/tex] tickets were sold to student and [tex]130[/tex] tickets were sold to adults
