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 + 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
3.50S + 1.50P = 800 and P + S = 344
3.50S + 1.50P = 800 and P + S = 344
3.50P + 1.50S = 800 and P + S = 344
The equations used to solve this problem are:
1) 3.50P + S = 800
This equation represents the total revenue from selling pizza slices and sodas, which is $800.
2) P + 1.50S = 344
This equation represents the total number of pizza slices and sodas sold, which is 344.
Therefore, the correct answer is:
3.50P + S = 800 and P + 1.50S = 344.
The correct equations to solve this problem are:
3.50P + S = 800
P + 1.50S = 344
The correct equations to solve this problem are:
3.50P + S = 800
P + 1.50S = 344
To obtain these equations, you need to set up a system of linear equations based on the given information.
The first equation, 3.50P + S = 800, represents the total revenue from selling pizza slices and sodas, which is $800. Since each pizza slice sells for $3.50, the revenue from pizza slices would be 3.50P. Similarly, since each soda sells for $1.50, the revenue from sodas would be 1.50S. Adding these two revenue terms together gives you the total revenue of $800.
The second equation, P + 1.50S = 344, represents the total number of pizza slices and sodas sold, which is 344. Each pizza slice sold adds 1 to the count (P), and each soda sold adds 1.50 to the count (1.50S), where S represents the number of sodas sold. Adding the pizza slice count and the soda count together gives you the total count of 344.
Solving this system of equations will give you the values of P (number of pizza slices sold) and S (number of sodas sold).