6 friends are selling crafts at a show. they each need to pay \$7.20 to cover the table rental. they each sell 3 items. if every item is the same price, and the 6 friends make a total of \$25.20, what was the sale price of each item?

\$1.00
\$1.80
\$3.80
\$4.20

Question

6 friends are selling crafts at a show. they each need to pay \\$7.20 to cover the table rental. they each sell 3 items. if every item is the same price, and the 6 friends make a total of \\$25.20, what was the sale price of each item?

\\$1.00
\\$1.80
\\$3.80
\\$4.20

\$1.00
\$1.80
\$3.80
\$4.20

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_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 for total profit $$ \begin{aligned} &\text{Let } p \text{ be the sale price of each item.}\ &6 \times (3p - 7.20) = 25.20 \end{aligned} $$ ## Solve for the price per item $$ \begin{aligned} &3p - 7.20 = \frac{25.20}{6}\ &3p - 7.20 = 4.20\ &3p = 4.20 + 7.20\ &3p = 11.40\ &p = \frac{11.40}{3}\ &p = 3.80 \end{aligned} $$

(A) $1.00

(B) $1.80

(C) $3.80

(D) $4.20

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

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QUESTION IMAGE

Question

Explanation:

Set up the equation for total profit

Solve for the price per item

Answer: