Answer:
The cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Step-by-step explanation:
We are given the following in the question:
Let x units be the cost of a popcorn bag and y units be cost of soda.
The cost of 4 bags of popcorn and 3 sodas is 13.50.
Thus, we can write the equation:
[tex]4x + 3y = 13.50[/tex]
The cost of 2 bags of popcorn and 5 sodas is 12.00
Thus, we can write the equation:
[tex]2x+5y=12[/tex]
Solving the two equations, we get,
[tex]4x + 3y-(4x+10y) = 13.5 - 24\\\Rightarrow -7y =10.5\\\Rightarrow y = 1.5\\\Rightarrow 2x + 5(1.5) = 12\\\Rightarrow x = 2.25[/tex]
Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.
Cost of 5 bags and 2 sodas
=[tex]=5x+2y\\=5(2.25) + 2(1.5)\\=14.25[/tex]
Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.