You are running a concession stand at a baseball game.

Question

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

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

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

3.50S + 1.50P = 344 and P + S = 800
3.50S + 1.50P = 344 and P + S = 800
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Answer 1

To solve the problem, we need to formulate the correct equations based on the information provided about the sales of pizza slices and sodas.

Let:

• \( P \) = the number of pizza slices sold
• \( S \) = the number of sodas sold

From the information provided:

1. Each pizza slice sells for $3.50, so the total income from pizza slices is \( 3.50P \).
2. Each soda sells for $1.50, so the total income from sodas is \( 1.50S \).
3. The total income from both pizza slices and sodas is equal to $800: \[ 3.50P + 1.50S = 800 \]
4. The total number of items sold (pizza slices and sodas combined) is 344: \[ P + S = 344 \]

Thus, the equations you should use are:

1. \( 3.50P + 1.50S = 800 \) (total sales)
2. \( P + S = 344 \) (total items sold)

So the correct choice from the options you provided is: 3.50P + 1.50S = 800 and P + S = 344.