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Pick the story that can be modeled by the equation x15=45x - 15 = 45.\newlineChoices:\newline(A) Malia opened a bag containing xx lollipops and used 1515 of them for favors at her Halloween party. Then, she poured the remaining 4545 lollipops in a bowl to hand out to trick-or-treaters.\newline(B) To make the favors for her Halloween party, Malia opened a bag containing 4545 lollipops. She divided them evenly among 1515 favor bags, putting xx lollipops in each bag.

Full solution

Q. Pick the story that can be modeled by the equation x15=45x - 15 = 45.\newlineChoices:\newline(A) Malia opened a bag containing xx lollipops and used 1515 of them for favors at her Halloween party. Then, she poured the remaining 4545 lollipops in a bowl to hand out to trick-or-treaters.\newline(B) To make the favors for her Halloween party, Malia opened a bag containing 4545 lollipops. She divided them evenly among 1515 favor bags, putting xx lollipops in each bag.
  1. Analyze Equation x15=45x - 15 = 45: Step 11: Analyze the equation x15=45x - 15 = 45. To solve for xx, add 1515 to both sides of the equation. x15+15=45+15x - 15 + 15 = 45 + 15 x=60x = 60
  2. Interpret Calculated Value: Step 22: Interpret the stories with the calculated value of x=60x = 60.\newline(A) Malia started with xx lollipops, used 1515, and had 4545 left.\newlinex15=45x - 15 = 45 matches the equation given.\newline(B) Malia had 4545 lollipops and divided them into 1515 bags, which does not relate to subtracting 1515 from xx.\newlineThis would be modeled by 45/15=x45 / 15 = x, which simplifies to xx00