sherie bought a beach towel that normally costs \$44 but was on sale for half price. she also bought a beach hat that was on sale for \$12 off. before tax, her total cost was \$38. what was the regular price of the beach hat?

\$22
\$28
\$48
\$56

Question

sherie bought a beach towel that normally costs \\$44 but was on sale for half price. she also bought a beach hat that was on sale for \\$12 off. before tax, her total cost was \\$38. what was the regular price of the beach hat?

\\$22
\\$28
\\$48
\\$56

\$22
\$28
\$48
\$56

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", "Word Problem Analysis" ], "new_concepts": [], "current_concepts": [ "Linear Equation Formulation", "Word Problem Analysis" ] } ## Calculate the sale price of the beach towel $$ \text{Sale Price of Towel} = \frac{\$44}{2} = \$22 $$ ## Formulate the equation for the total cost $$ \begin{aligned} \text{Sale Price of Towel} + \text{Sale Price of Hat} &= \text{Total Cost} \ 22 + (x - 12) &= 38 \end{aligned} $$ ## Solve for the regular price of the beach hat $$ \begin{aligned} x + 10 &= 38 \ x &= 28 \end{aligned} $$

(A) $22

(B) $28

(C) $48

(D) $56

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate the sale price of the beach towel

Formulate the equation for the total cost

Solve for the regular price of the beach hat

Answer: