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
3.50P + 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
The correct equations to solve this problem are:
3.50P + 1.50S = 800 and P + S = 344.
The equations used to solve this problem are:
1) 3.50P + 1.50S = 800
This equation represents the total revenue made from selling pizza slices and sodas.
2) P + S = 344
This equation represents the total number of pizza slices and sodas sold.
Therefore, the correct answer is:
3.50P + 1.50S = 800 and P + S = 344
To solve this problem, you need to set up a system of equations.
Let's call the number of pizza slices sold P and the number of sodas sold S.
The cost of each pizza slice is $3.50, so the total income from pizza sales is 3.50P.
The cost of each soda is $1.50, so the total income from soda sales is 1.50S.
According to the problem, the total income from both pizza and soda sales is $800, so we have the equation:
3.50P + 1.50S = 800
The total number of pizza slices and sodas sold is 344, so we have the equation:
P + S = 344
Therefore, the equations used to solve this problem are:
3.50P + 1.50S = 800
P + S = 344