Answer:Solving the system of equations will give us the values of f and g, which represent the cost of 1 piece of fudge and 1 piece of bubble gum, respectively.
Step-by-step explanation: The correct system of equations that could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g, is:
A) 5f + 3g = 5.70
2f + 10g = 3.60
To understand why this is the correct system of equations, let's break down the information given in the problem:
1) Chad bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. This can be represented by the equation 5f + 3g = 5.70, where f represents the cost of 1 piece of fudge and g represents the cost of 1 piece of bubble gum.
2) Sam bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. This can be represented by the equation 2f + 10g = 3.60.
By setting up this system of equations, we can solve for the values of f and g.