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

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

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
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1 answer

To find the number of pizza slices (P) and sodas (S) sold at the concession stand, you can set up the following system of equations based on the problem statement:

  1. The revenue equation: \( 3.50P + 1.50S = 800 \) (because pizza slices sell for $3.50 each and sodas for $1.50 each, and the total revenue is $800)

  2. The total items sold equation: \( P + S = 344 \) (because the total number of pizza slices and sodas sold is 344)

The correct set of equations used to solve this problem is: \( 3.50P + 1.50S = 800 \) and \( P + S = 344 \)

So the correct response from your options is: 3.50P + 1.50S = 800 and P + S = 344