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?
3.50S + 1.50P = 800 and P + S = 344
3.50S + 1.50P = 344 and P + S = 800
3.50P + S = 800 and P + 1.50S = 344
3.50P + 1.50S = 800 and P + S = 344
The correct equations to solve this problem would be:
3.50P + 1.50S = 800 and P + S = 344
The correct equations to solve this problem are:
3.50P + 1.50S = 800
P + S = 344
The correct equations to solve this problem are:
3.50P + 1.50S = 800 (equation 1)
P + S = 344 (equation 2)
To explain how these equations are derived, let's break down the problem. We know that each pizza slice sells for $3.50 and each soda sells for $1.50. Let's denote the number of pizza slices sold as P and the number of sodas sold as S.
From the given information, we know that the total revenue from pizza slices and sodas is $800. So, the equation for the revenue is:
(3.50 x P) + (1.50 x S) = 800
This equation represents the total amount of money collected from selling pizza slices (3.50 x P) plus the total amount of money collected from selling sodas (1.50 x S), which equals $800.
We also know that the total number of pizza slices and sodas sold combined is 344. So, the equation for the total quantity sold is:
P + S = 344
This equation represents the total number of pizza slices sold (P) plus the total number of sodas sold (S), which equals 344.
Therefore, the correct equations to solve this problem are:
3.50P + 1.50S = 800 (equation 1)
P + S = 344 (equation 2)