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Pick the story that can be modeled by the equation x+6=15x + 6 = 15.\newlineChoices:\newline(A)There are xx girls and 66 boys in Knight Middle School's chess club. Altogether, there are 1515 members in the club.\newline(B)The Knight Middle School's chess club has a total of xx members, but 66 members were absent from yesterday's meeting. Only 1515 members attended the meeting.

Full solution

Q. Pick the story that can be modeled by the equation x+6=15x + 6 = 15.\newlineChoices:\newline(A)There are xx girls and 66 boys in Knight Middle School's chess club. Altogether, there are 1515 members in the club.\newline(B)The Knight Middle School's chess club has a total of xx members, but 66 members were absent from yesterday's meeting. Only 1515 members attended the meeting.
  1. Isolate xx: Analyze the equation x+6=15x + 6 = 15 to find the value of xx. Subtract 66 from both sides to isolate xx. Calculation: x=156=9x = 15 - 6 = 9.
  2. Interpret xx: Interpret the value of xx in the context of the stories provided. xx represents the number of members or attendees, depending on the story.
  3. Match x to Stories: Match the value of x to the stories:\newline(A) x=9x = 9 girls, and there are 66 boys, making a total of 9+6=159 + 6 = 15 members.\newline(B) x=9x = 9 total members, but 66 were absent, so only 156=915 - 6 = 9 attended, which doesn't match the given xx value.

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