Answer: A total of 132 tickets were sold to children and 198 tickets were sold to adults
Step-by-step explanation: Let the adult’s tickets be called x and the children’s tickets be called y.
If a total of 330 tickets were sold in all, that means x and y totaled 330, or we can express this as
x + y = 330
Also if each adult ticket is $8 and each child ticket is $5, and the total sales was $2244, then it means the total of x tickets times $8 plus total of y tickets times $5 would be equal to 2244. In other words,
8x + 5y = 2244
We now have a pair of simultaneous equations as follows
x + y = 330 ———(1)
8x + 5y = 2244 ——(2)
From equation (1) we make x the subject of the equation and we have
x = 330 - y
Substitute for the value of x into equation (2)
8(330 -y) + 5y = 2244
2640 -8y + 5y = 2244
By collecting like terms we now have
2640 -2244 = 8y - 5y
396 = 3y
Divide both sides of the equation by 3
132 = y
Having calculated the value of y, substitute for the value of y into equation (1)
x + y = 330
x + 132 = 330
Subtract 132 from both sides of the equation
x = 198
Therefore, the total adult tickets (x) sold was 198.
And the total of children’s tickets (y) sold was 132.