the cost of admission for adults is $12 and children under 12 are charged $8.00. If 20% of the total ticket sales were for children how much more money could they have made if all the tickets had been sold to adults?

To find out how much more money could have been made if all the tickets had been sold to adults, we first need to calculate the total ticket sales.

Let's assume the total number of ticket sales is represented by 'x'. Since 20% of the total ticket sales were for children, the remaining 80% would be for adult tickets.

To calculate the total ticket sales, we'll set up an equation:
Adult ticket sales + Child ticket sales = Total ticket sales

Since adult tickets cost $12 and child tickets cost $8, the equation can be expressed as:
($12 * 0.8x) + ($8 * 0.2x) = x

Now, let's solve the equation to find the value of 'x'.
($9.6x) + ($1.6x) = x
$11.2x = x
(11.2 - 1)x = 0
10.2x = 0
x = 0

The value of 'x' is 0, which means there were no ticket sales. This implies that no money could have been made.