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If Molly increased her original bowling score by 20% to achieve a new score of 75, what was her original score?

  1. 50

  2. 70

  3. 62.5

  4. 80

The correct answer is: 62.5

To determine Molly's original bowling score, we should set up the relationship given by the problem statement. When Molly increased her original score by 20%, this means that her new score is equal to her original score plus 20% of her original score. Let's denote her original score as X. An increase of 20% means that her new score can be expressed as: New Score = Original Score + (20% of Original Score) New Score = X + 0.2X New Score = 1.2X According to the problem, her new score is 75. Therefore, we can set up the equation: 1.2X = 75. To find X, we divide both sides by 1.2: X = 75 / 1.2 = 62.5. This calculation shows that Molly's original score was indeed 62.5. Thus, the answer is correct because it accurately reflects the relationship between the original score and the increased score, taking into account the percentage increase.