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?

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

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

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

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

Answer 1

To solve the problem, we need to set up two equations based on the information provided.

1. Let \( P \) represent the number of pizza slices sold, and \( S \) represent the number of sodas sold.

2. We know the total revenue from the sales: Pizza slices sell for $3.50 each and sodas sell for $1.50 each. Therefore, the equation for total revenue is: \[ 3.50P + 1.50S = 800 \]

3. We also know that the combined total of pizza slices and sodas sold is 344: \[ P + S = 344 \]

So the correct set of equations based on this information is:

• Equation for total sales: \( 3.50P + 1.50S = 800 \)
• Equation for total items sold: \( P + S = 344 \)

Thus, the correct option is: 3.50P + 1.50S = 800 and P + S = 344.