Answer:
The cost of a small bag of popcorn is [tex]\$2.95[/tex]
The cost of a large bag of popcorn is [tex]\$4.75[/tex]
Step-by-step explanation:
Let
x----> the cost of a small bag of popcorn
y----> the cost of a large bag of popcorn
we know that
[tex]9x+2y=36.05[/tex] ----> equation A
[tex]5x+7y=48[/tex] ----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2.95,4.75)
see the attached figure
therefore
The cost of a small bag of popcorn is [tex]\$2.95[/tex]
The cost of a large bag of popcorn is [tex]\$4.75[/tex]
