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 + S = 800 and P + 1.50S = 344
3.50S + 1.50P = 344 and P + S = 800
3.50S + 1.50P = 800 and P + S = 344
The correct equations used to solve this problem are:
3.50P + 1.50S = 800 (equation 1)
P + S = 344 (equation 2)
Check all that apply. Select the TWO statements that correctly describes the solution to this system of equations: 8x−2y=−4 4x−y=−2 (2 points)
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 are infinite solutions 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).
Solve this system by substitution since one of the variables is defined by the other without having to do any math.
The two statements that correctly describe the solution to this system of equations are:
- There is exactly one solution to this system of linear equations and it is (2, 0).
- Solve this system by elimination since it is already in standard form and lined up nicely.
The correct equations to solve the problem are:
3.50P + 1.50S = 800 (Equation 1)
P + S = 344 (Equation 2)
The correct equations to solve this problem are:
1. 3.50P + 1.50S = 800
2. P + S = 344
Let's break it down:
Equation 1 represents the total revenue earned from selling pizza slices and sodas – $3.50 for each pizza slice (represented by P) and $1.50 for each soda (represented by S) – which must equal $800.
Equation 2 represents the total number of pizza slices and sodas sold – the sum of the number of pizza slices (P) and the number of sodas (S) sold, which must equal 344.
By using these two equations, we can solve for the number of pizza slices sold (P) and the number of sodas sold (S).