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 answer

The total amount made from selling pizza slices can be represented as 3.5P, and the total amount made from selling sodas can be represented as 1.5S. Since the total amount made was $800, we can set up the equation:

3.5P + 1.5S = 800

We also know that the total number of items sold (pizza slices and sodas combined) was 344, so we can set up a second equation:

P + S = 344

To solve this system of equations, you can use the substitution method or elimination method.
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