marsha had $4.00 in her pocket in the morning, and mark had $0.50. marsha sells her sweets for $0.25 each, and mark sells his for $0.50 each. if marsha and mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?

sweets

Question

marsha had $4.00 in her pocket in the morning, and mark had $0.50. marsha sells her sweets for $0.25 each, and mark sells his for $0.50 each. if marsha and mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?

sweets

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Real-world Applications" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Real-world Applications" ] } ## Set up the equation $$ \begin{aligned} &\text{Let } x \text{ be the number of sweets sold by each person.}\ &\text{Marsha's total money: } 4.00 + 0.25x\ &\text{Mark's total money: } 0.50 + 0.50x\ &4.00 + 0.25x = 0.50 + 0.50x \end{aligned} $$ ## Solve for x $$ \begin{aligned} &4.00 - 0.50 = 0.50x - 0.25x\ &3.50 = 0.25x\ &x = \frac{3.50}{0.25}\ &x = 14 \end{aligned} $$ Marsha had $4.00 in her pocket in the morning, and Mark had $0.50. Marsha sells her sweets for $0.25 each, and Mark sells his for $0.50 each. If Marsha and Mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell? 14 sweets { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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