question 7

erin needs to buy some new clothes for work. she has $150 to spend. she selects a pair of pants that cost $62.50 and she tries on some blouses that are on sale for $22.99 each.

if she buys the pants, how many blouses can she buy?

4 blouses
5 blouses
2 blouses
3 blouses

Question

question 7

erin needs to buy some new clothes for work. she has $150 to spend. she selects a pair of pants that cost $62.50 and she tries on some blouses that are on sale for $22.99 each.

if she buys the pants, how many blouses can she buy?

4 blouses
5 blouses
2 blouses
3 blouses

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Inequalities", "Translating Word Problems" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Translating Word Problems", "Financial Word Problems" ] } ## Set up the inequality Using the *Translating Word Problems* and *Linear Inequalities* knowledge points $$ \begin{aligned} &x \ge 0, \quad x \in \mathbb{Z}\ &62.50 + 22.99x \le 150 \end{aligned} $$ ## Solve for the number of blouses Using the *Linear Inequalities* knowledge point $$ \begin{aligned} 22.99x &\le 150 - 62.50\ 22.99x &\le 87.50\ x &\le \frac{87.50}{22.99} \approx 3.806 \end{aligned} $$ ## Determine the maximum whole number Using the *Linear Inequalities* knowledge point $$ \begin{aligned} &x \le 3.806\ &x_{\max} = 3 \end{aligned} $$

4 blouses

5 blouses

2 blouses

3 blouses

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the inequality

Solve for the number of blouses

Determine the maximum whole number

Answer: