Question

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

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

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

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

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct equation to represent the problem is:

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

Answer 3

[AI-generated answer — Explain Bot]

To solve this problem, we need to set up a system of equations using the given information.

Let P be the number of pizza slices sold and S be the number of sodas sold.

From the given information:
- Each pizza slice sells for $3.50, so the total revenue from pizza slices is 3.50P.
- Each soda sells for $1.50, so the total revenue from sodas is 1.50S.
- The total revenue at the end of the night is $800, so the equation is: 3.50P + 1.50S = 800.

Additionally, we are given that the total number of pizza slices and sodas sold combined is 344, so the equation is: P + S = 344.

The correct set of equations that represents this information is:
- 3.50P + 1.50S = 800
- P + S = 344

Therefore, the answer is option c: 3.50P + S = 800 and P + 1.50S = 344.