Math Problem Statement

A clerk is paid 45.25 per hour for 40 hours a week. 1.50 times the regular rate for overtime and double the rate for a holiday. How much does the clerk get if he works overtime for 5 hours and 2 hours on holiday

Solution

Let's break down the clerk's earnings based on the different rates:

  1. Regular earnings:
    The clerk works 40 hours per week at a rate of $45.25 per hour. Regular earnings=40×45.25=1810\text{Regular earnings} = 40 \times 45.25 = 1810

  2. Overtime earnings:
    Overtime is paid at 1.5 times the regular rate. The clerk works 5 hours of overtime. Overtime rate=45.25×1.5=67.875\text{Overtime rate} = 45.25 \times 1.5 = 67.875 Overtime earnings=5×67.875=339.375\text{Overtime earnings} = 5 \times 67.875 = 339.375

  3. Holiday earnings:
    Holiday hours are paid at double the regular rate. The clerk works 2 hours on a holiday. Holiday rate=45.25×2=90.50\text{Holiday rate} = 45.25 \times 2 = 90.50 Holiday earnings=2×90.50=181\text{Holiday earnings} = 2 \times 90.50 = 181

  4. Total earnings:
    Now, we add up all the components: Total earnings=1810+339.375+181=2330.375\text{Total earnings} = 1810 + 339.375 + 181 = 2330.375

Thus, the clerk earns $2330.38 for the week.

Would you like further details or explanations?
Here are 5 related questions you might find interesting:

  1. What if the clerk worked 8 hours of overtime instead of 5?
  2. How would the total change if the hourly rate increased to $50 per hour?
  3. What if the clerk worked 3 holiday hours instead of 2?
  4. How would the weekly earnings be affected by a reduction in overtime pay?
  5. What if holiday hours were paid at triple the regular rate?

Tip: Always verify how overtime and holiday rates are calculated in contracts as they can vary!

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Math Problem Analysis

Mathematical Concepts

Basic arithmetic
Multiplication
Rates and percentages

Formulas

Regular earnings = Regular hours × Hourly rate
Overtime earnings = Overtime hours × (1.5 × Hourly rate)
Holiday earnings = Holiday hours × (2 × Hourly rate)
Total earnings = Regular earnings + Overtime earnings + Holiday earnings

Theorems

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Suitable Grade Level

Grades 5-7