Answer:
700 adult tickets and 300 children tickets were sold.
Explanation:
This question requires a system of equations. We must create two equations, one consisting of the number of tickets, and another one consisting of the total amount.
a : # of adult tickets
c : # of child tickets
a + c = 1000
There are one thousand tickets sold, so the total of the tickets must add up to 1000.
8.5a + 4.5c = 7300
Each adult ticket costs $8.50, and each child ticket costs $4.50, and the total comes out to $7300.
a + c = 1000
8.5a + 4.5c = 7300
Now, use elimination or substitution to find out how many tickets there are of each. In this case, we can use elimination.
-4.5(a + c = 1000) = -4.5a - 4.5c = -4500
-4.5a - 4.5c = -4500
8.5a + 4.5c = 7300
Add both the equations:
4a = 2800
a = 700
Plug a back into one of the first equations.
a + c = 1000
700 + c = 1000
c = 300
In the end, 700 adult tickets and 300 children tickets were sold.