Question

John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend brought 2 bags & 5 sodas for a total of 12.00 How much will John & friends pay for 5 bags and 2 sodas?

Answer 1

The cost of 5 bags of popcorn and 2 sodas is 14.25 units.

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:

`4x + 3y = 13.50`

The cost of 2 bags of popcorn and 5 sodas is 12.00

Thus, we can write the equation:

`2x+5y=12`

Solving the two equations, we get,

`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`

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

=
`=5x+2y\\=5(2.25) + 2(1.5)\\=14.25`

Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.