james is a warehouse helper in manila and is paid $\unicode{x20b1}$ 70 per hour for regular hours. he worked 45 hours this week. overtime (beyond 40 hours) is paid at 1.5 times the regular rate. what is his total wage?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Overtime Pay Calculation", "Hourly Wage Computation" ], "current_concepts": [ "Overtime Pay Calculation", "Hourly Wage Computation" ] } ## Calculate regular earnings $$ \begin{aligned} \text{Regular Hours} &= 40 \ \text{Regular Rate} &= \text{₱}70 \ \text{Regular Pay} &= 40 \times 70 = \text{₱}2800 \end{aligned} $$ ## Calculate overtime earnings $$ \begin{aligned} \text{Overtime Hours} &= 45 - 40 = 5 \ \text{Overtime Rate} &= 70 \times 1.5 = \text{₱}105 \ \text{Overtime Pay} &= 5 \times 105 = \text{₱}525 \end{aligned} $$ ## Calculate total wage $$ \begin{aligned} \text{Total Wage} &= \text{Regular Pay} + \text{Overtime Pay} \ \text{Total Wage} &= 2800 + 525 = \text{₱}3325 \end{aligned} $$ ₱3,325 { "subject": "Mathematics", "question_type": "Word Problem", "knowledge_point": [ "Mathematics", "Algebra", "Overtime Pay Calculation" ] }

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Explanation:

Calculate regular earnings

Calculate overtime earnings

Calculate total wage

Answer: