8 bags of popcorn cost 81.20 dollars

6 cost 60.90 dollars
4 cost 40.60 dollars
and 2 cost 20.30 dollars
what is the original price for a bag of popcorn?

Let's assume that the original price for a bag of popcorn is X dollars.

From the information given, we can set up the following equations:

8X = 81.20
6X = 60.90
4X = 40.60
2X = 20.30

To find the original price, we need to solve for X. We can divide both sides of each equation by the corresponding coefficient of X:

8X / 8 = 81.20 / 8
6X / 6 = 60.90 / 6
4X / 4 = 40.60 / 4
2X / 2 = 20.30 / 2

Simplifying each equation gives us:

X = 10.15
X = 10.15
X = 10.15
X = 10.15

Therefore, the original price for a bag of popcorn is $10.15.