Real world system of equations QuickChek

Answer 1

The QuickChek convenience store chain has multiple locations and each location sells different items at different prices. If we were trying to model the revenue generated by a specific QuickChek location, we might use a system of equations to represent the sales of various items.

Let's say that at a specific QuickChek location, the store sells two types of drinks - coffee and soda. Let's denote the sales of coffee as C and the sales of soda as S. We can then represent the revenue generated from these sales as follows:

1. Revenue from coffee: $2.50 per cup * C cups sold
2. Revenue from soda: $1.50 per can * S cans sold

If the total revenue generated by these sales is $100, we can write the following equation:

2.50C + 1.50S = 100

Additionally, let's say that the total number of drinks sold is 60. We can represent this constraint with the following equation:

C + S = 60

So, the system of equations for this specific QuickChek location would be:

2.50C + 1.50S = 100

C + S = 60

By solving this system of equations, we can determine the number of cups of coffee and cans of soda sold at this location, and therefore, the revenue generated from these sales.