Answer :
Final Answer
Given Edna's marbles are 6 times that of Sam's, and their total is 56, solving the equation 7x = 56 leads to x = 8, indicating Sam holds 8 marbles (Option A).
Explanation
The problem presents a scenario where Sam and Edna collectively possess 56 marbles. The key to solving this lies in understanding their marble ownership relationship. According to the information provided, Edna's number of marbles surpasses Sam's by a substantial factor of 6.
To translate this into an equation, let's denote Sam's marbles as "x" and Edna's as "6x" since Edna has six times the number of marbles Sam possesses. As a result, their combined marbles can be expressed as the sum of x and 6x, which must equal the total of 56 marbles.
Mathematically, this translates into the equation: x + 6x = 56.
Solving for x, we combine the like terms on the left side: 7x = 56. To isolate x, we divide both sides of the equation by 7, resulting in x = 8.
This outcome signifies that Sam holds 8 marbles, a figure that aligns with the option A choice. The solution underscores how careful interpretation of the problem and subsequent equation formation allows for the derivation of the correct answer.
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