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On a rainy day, Eva and her friends play a marble game called Revenge. To start, Eva divides a bag of marbles evenly among the 66 players. Each player gets 1313 marbles.\newlineWhich equation can you use to find the number of marbles mm in the bag?\newlineChoices:\newline(A) m6=13\frac{m}{6} = 13\newline(B) m+6=13m + 6 = 13\newline(C) m6=13m - 6 = 13\newline(D) 6m=136m = 13\newlineSolve this equation for mm to find the number of marbles in the bag.\newline___\_\_\_ marbles\newline

Full solution

Q. On a rainy day, Eva and her friends play a marble game called Revenge. To start, Eva divides a bag of marbles evenly among the 66 players. Each player gets 1313 marbles.\newlineWhich equation can you use to find the number of marbles mm in the bag?\newlineChoices:\newline(A) m6=13\frac{m}{6} = 13\newline(B) m+6=13m + 6 = 13\newline(C) m6=13m - 6 = 13\newline(D) 6m=136m = 13\newlineSolve this equation for mm to find the number of marbles in the bag.\newline___\_\_\_ marbles\newline
  1. Understand the problem: Understand the problem.\newlineEva divides a bag of marbles evenly among 66 players, and each player gets 1313 marbles. We need to find the total number of marbles in the bag.
  2. Choose the correct equation: Choose the correct equation.\newlineTo find the total number of marbles, we need to multiply the number of marbles each player gets by the number of players. The correct equation that represents this situation is (A)m6=13(A)\frac{m}{6} = 13, because mm divided by 66 players equals 1313 marbles per player.
  3. Solve the equation for m: Solve the equation for m.\newlineUsing the equation (A)m/6=13(A)m/6 = 13, we multiply both sides by 66 to isolate mm.\newlinem=13×6m = 13 \times 6
  4. Calculate the total number of marbles: Calculate the total number of marbles.\newlinem=13×6m = 13 \times 6\newlinem=78m = 78