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Pick the story that can be modeled by the equation x−2=18x - 2 = 18.\newlineChoices:\newline(A)At his family reunion, Franco filled up xx water balloons for the annual water balloon toss. He split the balloons evenly among 22 teams. Each team got 1818 balloons.\newline(B)At his family reunion, Franco filled up xx water balloons for the annual water balloon toss. Unfortunately, 22 balloons popped when he dropped the bucket. There were 1818 balloons left.

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Q. Pick the story that can be modeled by the equation x−2=18x - 2 = 18.\newlineChoices:\newline(A)At his family reunion, Franco filled up xx water balloons for the annual water balloon toss. He split the balloons evenly among 22 teams. Each team got 1818 balloons.\newline(B)At his family reunion, Franco filled up xx water balloons for the annual water balloon toss. Unfortunately, 22 balloons popped when he dropped the bucket. There were 1818 balloons left.
  1. Understand the equation: Step 11: Understand the equation x−2=18x - 2 = 18. This equation means that when 22 is subtracted from xx, the result is 1818.
  2. Solve the equation: Step 22: Solve the equation x−2=18x - 2 = 18. Add 22 to both sides to isolate xx.\newlinex−2+2=18+2x - 2 + 2 = 18 + 2\newlinex=20x = 20
  3. Interpret the solution: Step 33: Interpret the solution x=20x = 20 in the context of the given stories.\newline(A) If xx is the total number of balloons and they are split into 22 teams with each getting 1818, then xx should be 18×2=3618 \times 2 = 36, not 2020.\newline(B) If xx is the total number of balloons and 22 popped, leaving 1818, then xx00 fits because x=20x = 20 means there were originally 2020 balloons before 22 popped.

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