Answer:
355 senior citizen tickets were sold.
Step-by-step explanation:
Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:
[tex]a +s=465[/tex] --- (1)
[tex]23a+13s=7145[/tex] --- (2)
From equation 1, [tex]a=465-s[/tex].
Substitute [tex]a[/tex] in equation 2 to get:
[tex]23 (465-s) + 13s = 7145[/tex]
[tex]10695 - 23s +13s =7145[/tex]
[tex]-10s = -3550[/tex]
[tex]s = 355[/tex]
Therefore, there were 355 senior citizen tickets sold.
