Final answer:
To solve the equation that models the situation, we divide the remaining fudge into 5 sixteenths pound bags. The solution is that Romeo initially had 12/5 pound of fudge.
Step-by-step explanation:
To solve this problem, we first need to translate the given information into an equation. Let's assume that the initial amount of fudge Romeo had was represented by the variable F. Since Romeo divided the remaining fudge into 5 sixteenths pound bags, each bag will contain (3/4) / (5/16) pound of fudge.
We can represent this as (3/4) ÷ (5/16). To solve this equation, we can multiply the numerator by the reciprocal of the denominator: (3/4) * (16/5) = 48/20 = 12/5.
Therefore, each bag contains 12/5 pound of fudge. So the equation that represents the situation is F - (12/5) = 0.
To solve for F, we can add (12/5) to both sides of the equation: F - (12/5) + (12/5) = 0 + (12/5). This simplifies to F = 12/5.
Interpreting the solution, we find that Romeo initially had 12/5 pound of fudge.