Final answer:
To solve this problem, set up a system of equations using 'x' to represent the cost of a slice of pizza and 'y' to represent the cost of a juice box. Solve the system of equations to find the prices of the slice of pizza and the juice box.
Step-by-step explanation:
To solve this problem, we can set up a system of equations to represent the total cost of the items. Let's use 'x' to represent the cost of a slice of pizza and 'y' to represent the cost of a juice box.
From the information given, we can set up the following equations:
7x + 2y = 10.25 (equation 1)
3x + 4y = 6.75 (equation 2)
We can now solve this system of equations using the method of substitution or elimination.
By solving the system, we find that a slice of pizza costs $1.25 and a juice box costs $2.25.