Final answer:
The cost of one large soda, represented by s, is $5, found by setting up and solving the equation 3s = 2s + $5.
Step-by-step explanation:
Let's call the cost of one soda s. According to the problem, Kayla purchased 3 large sodas, and before tax, the total cost was equal to the cost of 2 sodas plus $5.
We can set up the following equation:
3s = 2s + $5
To find the cost of one soda, we need to solve for s. Subtracting 2s from both sides of the equation gives us:
s = $5
So, the cost of one large soda is $5.