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Today, there were 22 members absent from the band. The present members folded 2525 programs each, for a total of 525525 programs.\newlineWhat question does the equation \newline525=25(x2)525=25(x-2) help answer?\newlineChoose 11 answer:\newline(A) How many programs did each member fold?\newline(B) How many programs would the members fold if no one were absent?\newline(C) How many members are in the band when no one is absent?

Full solution

Q. Today, there were 22 members absent from the band. The present members folded 2525 programs each, for a total of 525525 programs.\newlineWhat question does the equation \newline525=25(x2)525=25(x-2) help answer?\newlineChoose 11 answer:\newline(A) How many programs did each member fold?\newline(B) How many programs would the members fold if no one were absent?\newline(C) How many members are in the band when no one is absent?
  1. Rephrase Question: First, let's rephrase the question that is asked in one sentence as the "question_prompt":\newline"What does the equation 525=25(x2)525 = 25(x - 2) represent in the context of the problem?"
  2. Analyze Given Equation: Now, let's analyze the given equation 525=25(x2)525 = 25(x - 2) to understand what it represents.\newlineThe equation indicates that the total number of programs folded is 525525. The number 2525 represents the number of programs each present member folded, and (x2)(x - 2) represents the number of present members, considering that 22 members were absent.
  3. Understand Equation Components: To find out what question the equation answers, we need to understand the components of the equation:\newline- 525525 is the total number of programs folded.\newline- 2525 is the number of programs each member folded.\newline- xx is the total number of members in the band if no one were absent.\newline- (x2)(x - 2) is the number of members present, as 22 were absent.
  4. Evaluate Answer Choices: Now, let's look at the answer choices and see which one fits the equation:\newline(A) How many programs did each member fold? This is not what the equation is solving for, as we already know each member folded 2525 programs.\newline(B) How many programs would the members fold if no one were absent? This is not what the equation is solving for, as the total number of programs folded is given as 525525, which already accounts for the absence.\newline(C) How many members are in the band when no one is absent? This is what the equation is solving for, as it uses xx to represent the total number of members and accounts for the 22 absent members.

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