Answer:
300 adult tickets and 700 children's tickets
Explanation:
Let the number of adult tickets sold be a and the number of children's tickets sold be c.
a +c= 1000 -----(1)
Total amount collected
= (number of adult ticket)(cost of an adult ticket) +(number of children's tickets)(cost of a children's ticket)
a(8.50) +c(4.50)= 5700
8.5a +4.5c= 5700 -----(2)
From (1):
a= 1000 -c -----(3)
Substitute (3) into (2):
8.5(1000 -c) +4.5c= 5700
Expand:
8500 -8.5c +4.5c= 5700
Simplify:
8500 -4c= 5700
4c= 8500 -5700
4c= 2800
Divide both sides by 4:
c= 2800 ÷4
c= 700
Substitute c= 700 into (3):
a= 1000 -700
a= 300
Thus, 300 adult tickets and 700 children's tickets were sold.