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Sam and Edna have a total of 56 marbles. If Edna has 6 times more marbles than Sam, how many marbles does Sam have?

  1. 8

  2. 12

  3. 32

  4. 46

The correct answer is: 8

To determine how many marbles Sam has, we can establish a relationship between the number of marbles Sam and Edna have. Let’s denote Sam's marbles as \( S \) and Edna's marbles as \( E \). According to the information provided, we know that: 1. The total number of marbles is 56: \[ S + E = 56 \] 2. Edna has 6 times more marbles than Sam: \[ E = 6S \] By substituting the value of \( E \) from the second equation into the first equation, we have: \[ S + 6S = 56 \] This simplifies to: \[ 7S = 56 \] To find \( S \), divide both sides by 7: \[ S = \frac{56}{7} \] Calculating this gives us: \[ S = 8 \] So, Sam has 8 marbles. This outcome aligns with the context that Edna, having six times the marbles that Sam has, would then have \( E = 6 \times 8 = 48 \). When we add both Sam's and Edna's marbles together