You are running a concession stand at a baseball game.

You are selling pizza slices and sodas.

Each pizza slice sells for $3.50 and each soda sells for $1.50.

At the end of the night, you made a total of $800.

You sold a total of 344 pizza slices and sodas combined.

You must report the number of pizza slices sold and the number of sodas sold.

What equations did you use to solve this, where P = the number of pizza slices sold and S = the number of sodas sold?

(1 point)
Responses

3.50P + S = 800 and P + 1.50S = 344
3.50P + S = 800 and P + 1.50S = 344

3.50P + 1.50S = 800 and P + S = 344
3.50P + 1.50S = 800 and P + S = 344

3.50S + 1.50P = 800 and P + S = 344
3.50S + 1.50P = 800 and P + S = 344

3.50S + 1.50P = 344 and P + S = 800

1 answer

To solve this problem, we need to establish the correct equations based on the information given.

  1. The total revenue equation is derived from the prices of pizza slices and sodas:

    • Each pizza slice sells for $3.50, and each soda sells for $1.50, so the total revenue can be expressed as: \[ 3.50P + 1.50S = 800 \]
  2. The total quantity equation represents the total number of items sold:

    • You sold a total of 344 pizza slices and sodas combined, which gives us: \[ P + S = 344 \]

So the correct equations are: \[ 3.50P + 1.50S = 800 \] \[ P + S = 344 \]

Thus, the correct choice from the responses given is: 3.50P + 1.50S = 800 and P + S = 344.