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?
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
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
Skip to navigation
The correct equations used to solve this are 3.50P + 1.50S = 800 and P + S = 344.
The correct equations that were used to solve this are:
1) 3.50P + 1.50S = 800
This equation represents the total revenue made from selling pizza slices and sodas, which should equal $800.
2) P + S = 344
This equation represents the total number of pizza slices and sodas sold, which should equal 344.
The correct equations to solve this problem are 3.50P + 1.50S = 800 and P + S = 344.
To explain how to get these equations, we need to break down the given information. We know that each pizza slice sells for $3.50 and each soda sells for $1.50. We also know that the total sales at the end of the night were $800, and the total number of pizza slices and sodas sold combined was 344.
Let's assign variables to the unknowns: P for the number of pizza slices sold and S for the number of sodas sold.
The first equation, 3.50P + 1.50S = 800, represents the total sales value. It is calculated by multiplying the number of pizza slices sold (P) by the price per pizza slice ($3.50) and the number of sodas sold (S) by the price per soda ($1.50). The sum of these revenue sources should be equal to the total sales value of $800.
The second equation, P + S = 344, represents the total quantity of pizza slices and sodas sold. Since we are given that the total number of pizza slices and sodas sold combined was 344, we can express this by adding the number of pizza slices sold (P) and the number of sodas sold (S) together.
By setting up and solving these two equations simultaneously, we can determine the values of P and S, which represent the number of pizza slices and sodas sold, respectively.