The admission at an ice hockey game is 8$ for adults and 5$ for children. A total of 330 tickets were sold. How many tickets were sold to children and how many to adults if a total of 2244$ was collected?

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.