sonji paid $25 for two scarves, which were different prices. when she got home she could not find the receipt. she remembered that one scarf cost $3 more than the other. what was the price of the more expensive scarf?

$11
$12
$13
$14

Question

sonji paid $25 for two scarves, which were different prices. when she got home she could not find the receipt. she remembered that one scarf cost $3 more than the other. what was the price of the more expensive scarf?

$11
$12
$13
$14

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Translation", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Algebraic Translation", "Linear Equations", "System of Equations" ] } ## Translate the word problem into algebraic equations Let $x$ be the price of the cheaper scarf in dollars. The more expensive scarf costs $x + 3$ dollars. The total cost for both scarves is $25$ dollars: $$x + (x + 3) = 25$$ ## Solve the linear equation for x $$ \begin{aligned} 2x + 3 &= 25 \ 2x &= 22 \ x &= 11 \end{aligned} $$ ## Calculate the price of the more expensive scarf $$x + 3 = 11 + 3 = 14$$

(A) $11

(B) $12

(C) $13

(D) $14

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

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QUESTION IMAGE

Question

Explanation:

Translate the word problem into algebraic equations

Solve the linear equation for x

Calculate the price of the more expensive scarf

Answer: