read the word problem below

soni has 196 pencils. if she puts equal amounts of pencils into eight boxes, she has four pencils left. how many pencils does she put in each box?

which strategy could help solve this word problem?

- if $x$ represents the number of pencils per box, solve the equation $4x + 8 = 196$
- divide 196 by the sum of 4 and 8 and find the quotient
- divide 196 by 4 and check that the remainder is 8
- if $x$ represents the number of pencils per box, solve the equation $8x + 4 = 196$

Question

read the word problem below

soni has 196 pencils. if she puts equal amounts of pencils into eight boxes, she has four pencils left. how many pencils does she put in each box?

which strategy could help solve this word problem?

- if $x$ represents the number of pencils per box, solve the equation $4x + 8 = 196$
- divide 196 by the sum of 4 and 8 and find the quotient
- divide 196 by 4 and check that the remainder is 8
- if $x$ represents the number of pencils per box, solve the equation $8x + 4 = 196$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equation Formulation" ], "new_concepts": [], "current_concepts": [ "Linear Equation Formulation", "Word Problem Analysis" ] } ## Define variables and write the equation $$ \begin{aligned} &\text{Let } x = \text{number of pencils per box}\ &\text{Number of boxes} = 8\ &\text{Pencils in boxes} = 8x\ &\text{Remaining pencils} = 4\ &\text{Total pencils} = 196\ &8x + 4 = 196 \end{aligned} $$ ## Match with the given options $$ \begin{aligned} &\text{Option 1: } 4x + 8 = 196 \quad (\text{Incorrect})\ &\text{Option 2: } 196 / (4 + 8) \quad (\text{Incorrect})\ &\text{Option 3: } 196 / 4 \text{ with remainder } 8 \quad (\text{Incorrect})\ &\text{Option 4: } 8x + 4 = 196 \quad (\text{Correct}) \end{aligned} $$

If $x$ represents the number of pencils per box, solve the equation $4x + 8 = 196$

Divide 196 by the sum of 4 and 8 and find the quotient

Divide 196 by 4 and check that the remainder is 8

If $x$ represents the number of pencils per box, solve the equation $8x + 4 = 196$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Formulation" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Define variables and write the equation

Match with the given options

Answer: