The cost of one bag is given as
$5
Generally, the equation for the First family is mathematically given as
4x + 5y = 50
Equation Second family:
6x + 4y = 54
We have a system of 2 equations with 2 variables.
4x + 5y = 50
6x + 4y = 54
Since we are being asked for the cost of one bag of popcorn, which we will refer to as x, we will first remove y and then proceed to find x.
Both sides of the first equation need to be multiplied by -4, and both sides of the second equation need to be multiplied by 5. We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.
-16x - 20y = -200
30x + 20y = 270
In conclusion, Simply adding the equations will get rid of y.
14x = 70
x = 70/14
x = 5
Read more about equations
https://brainly.com/question/10413253
#SPJ1