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Tara's softball coach split the team into two groups to practice different skills. One group of 2222 players is practicing batting. The other group is practicing catching. There are 3131 players on the team.\newlineLet cc represent the number of players that are practicing catching. Which equation models the problem?\newlineChoices:\newline(A) c22=31c - 22 = 31\newline(B) 22+c=3122 + c = 31\newlineSolve this equation to find the number of players that are practicing catching.\newline___\_\_\_ players\newline

Full solution

Q. Tara's softball coach split the team into two groups to practice different skills. One group of 2222 players is practicing batting. The other group is practicing catching. There are 3131 players on the team.\newlineLet cc represent the number of players that are practicing catching. Which equation models the problem?\newlineChoices:\newline(A) c22=31c - 22 = 31\newline(B) 22+c=3122 + c = 31\newlineSolve this equation to find the number of players that are practicing catching.\newline___\_\_\_ players\newline
  1. Identify Players Split: Identify the total number of players and how they are split. Tara's team has 3131 players in total, with 2222 practicing batting. Let cc be the number of players practicing catching.
  2. Formulate Equation: Formulate the equation that represents the situation. Since the team is split into two groups, the sum of both groups should equal the total number of players. Thus, the equation is 22+c=3122 + c = 31.
  3. Solve for c: Solve the equation for c. Subtract 2222 from both sides of the equation:\newline22+c22=312222 + c - 22 = 31 - 22\newlinec=9c = 9