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
3.50S + 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
3.50P + 1.50S = 800 and P + S = 344
3.50P + 1.50S = 800 and P + S = 344
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The correct equations to solve this problem are:
3.50P + 1.50S = 800 (equation representing the total amount of money made)
P + S = 344 (equation representing the total number of pizza slices and sodas sold)
Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations:
8x−2y=−4
4x−y=−2
(2 points)
Responses
Solve this system by elimination since it is already in standard form and lined up nicely.
Solve this system by elimination since it is already in standard form and lined up nicely.
There is exactly one solution to this system of linear equations and it is (2, 0).
There is exactly one solution to this system of linear equations and it is (2, 0).
There are infinite solutions to this system of linear equations.
There are infinite solutions to this system of linear equations.
These lines are parallel, so there is no solution to this system of linear equations.
These lines are parallel, so there is no solution to this system of linear equations.
There is exactly one solution to this system of linear equations and it is (0, -2).
There is exactly one solution to this system of linear equations and it is (0, -2).
Solve this system by substitution since one of the variables is defined by the other without having to do any math.
Solve this system by substitution since one of the variables is defined by the other without having to do any math.
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The statement that correctly describes the solution to this system of equations is:
- There is exactly one solution to this system of linear equations and it is (2, 0).
The correct equations to solve this problem are:
3.50S + 1.50P = 800 (equation 1)
P + S = 344 (equation 2)
These equations represent the total amount of money made from selling pizza slices and sodas and the total number of pizza slices and sodas sold, respectively.
To solve this problem, we need to set up a system of equations using the given information.
Let P be the number of pizza slices sold and S be the number of sodas sold.
From the information given, we know that each pizza slice sells for $3.50 and each soda sells for $1.50.
The total revenue from selling the pizza slices and sodas is $800.
So the first equation would be:
3.50P + 1.50S = 800
This equation represents the total revenue made from selling the pizza slices and sodas.
The second equation comes from the fact that the total number of pizza slices and sodas sold is 344:
P + S = 344
Now we have the two equations:
3.50P + 1.50S = 800
P + S = 344
We can now solve this system of equations to find the values of P and S.