Final answer:
The system of equations that we can use to solve for the individual prices of soda and snack at the snack stand is:
2s + n = 5, 3s + 4n = 15
Step-by-step explanation:
To set up the system of equations, we need to determine the cost of each soda and snack. Let's represent the cost of a soda as 'S' and the cost of a snack as 'N'.
From the information given, we know that Nathan buys 2 sodas and 1 snack and spends $5. Therefore, the equation for Nathan's purchase can be written as:
2S + N = 5
Olivia buys 3 sodas and 4 snacks and spends $15. Therefore, the equation for Olivia's purchase can be written as:
3S + 4N = 15