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

1 answer

To solve this problem, we need to create equations based on the information provided.

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

  2. From the information:

    • Each pizza slice sells for $3.50.
    • Each soda sells for $1.50.
    • The total revenue from sales is $800.
    • The combined total of pizza slices and sodas sold is 344.
  3. We can set up the following equations based on the information:

    • Revenue equation: \( 3.50P + 1.50S = 800 \)
    • Total quantity equation: \( P + S = 344 \)

Therefore, the correct responses would be:

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

This option corresponds to the revenue from selling pizza slices and sodas, and the total number of items sold.