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On a rainy day, Kimi and her friends play a marble game called Revenge. To start, Kimi 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) 6m=136m = 13\newline(B) m6=13\frac{m}{6} = 13\newline(C) m+6=13m + 6 = 13\newline(D) m6=13m - 6 = 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, Kimi and her friends play a marble game called Revenge. To start, Kimi 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) 6m=136m = 13\newline(B) m6=13\frac{m}{6} = 13\newline(C) m+6=13m + 6 = 13\newline(D) m6=13m - 6 = 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.\newlineKimi 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. Translate the problem: Translate the problem into an equation.\newlineSince each of the 66 players gets 1313 marbles, the total number of marbles is 66 times the number of marbles each player gets. This can be represented by the equation m=6×13m = 6 \times 13, where mm is the total number of marbles.
  3. Identify the correct equation: Identify the correct equation from the given choices.\newlineThe correct equation that represents the situation is m=6×13m = 6 \times 13. Looking at the choices, the equation that matches this is (B) m6=13\frac{m}{6} = 13, because if we multiply both sides by 66, we get m=6×13m = 6 \times 13.
  4. Solve the equation for m: Solve the equation for m.\newlineTo find m, we multiply 66 by 1313: m=6×13=78m = 6 \times 13 = 78.
  5. Verify the solution: Verify the solution.\newlineIf we take the total number of marbles, 7878, and divide them by the number of players, 66, each player should get 1313 marbles. 78/6=1378 / 6 = 13, which is correct.