there were some people at the soccer stadium when the game started. then, another 1,120 people arrived. by halftime another 8,456 people had arrived. then, 2,011 people left. now there are 13,807 people in the stadium. how many people were in the stadium when the game started?

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Word Problems", "Multi-digit Subtraction" ], "new_concepts": [ "Multi-step Word Problems", "Working Backward Strategy" ], "current_concepts": [ "Word Problems", "Multi-digit Subtraction", "Multi-step Word Problems", "Working Backward Strategy" ] } ## Define the variable and set up the equation $$ x + 1,120 + 8,456 - 2,011 = 13,807 $$ ## Simplify the equation by combining terms $$ \begin{aligned} x + 9,576 - 2,011 &= 13,807 \ x + 7,565 &= 13,807 \end{aligned} $$ ## Solve for the initial number of people $$ \begin{aligned} x &= 13,807 - 7,565 \ x &= 6,242 \end{aligned} $$ 6,242 { "subject": "Mathematics", "question_type": "Word Problem", "knowledge_point": [ "Mathematics", "Algebra", "Multi-step Word Problems" ] }

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Question

Explanation:

Define the variable and set up the equation

Simplify the equation by combining terms

Solve for the initial number of people

Answer: