Math Problem Statement

Is a casual employee who works 8 hours at normal time and 2 hours at time-and-a-half. Her normal rate of pay is $12.30 per hour. What is her pay for the hours she worked?

Solution

To calculate the total pay for the casual employee, we break down the hours worked at the normal rate and at time-and-a-half, then add them together.

  1. Normal pay: 8hours×12.30per hour=98.408 \, \text{hours} \times 12.30 \, \text{per hour} = 98.40

  2. Time-and-a-half pay: Rate at time-and-a-half=12.30×1.5=18.45per hour\text{Rate at time-and-a-half} = 12.30 \times 1.5 = 18.45 \, \text{per hour} 2hours×18.45per hour=36.902 \, \text{hours} \times 18.45 \, \text{per hour} = 36.90

  3. Total pay: 98.40+36.90=135.3098.40 + 36.90 = 135.30

Therefore, the total pay for the hours worked is $135.30.

Would you like more details on this or have any questions?

Here are 5 related questions:

  1. What would the pay be if the employee worked an additional 3 hours at double time?
  2. How do different overtime rates (double time, time-and-a-half) affect the total pay?
  3. If the normal rate increased to $15 per hour, how would that affect her total pay?
  4. How does holiday pay impact casual workers’ earnings?
  5. How do you calculate weekly earnings for an employee working multiple shifts with varying overtime?

Tip: Always double-check the overtime rate when calculating pay, as it can differ based on company policies or labor agreements.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Multiplication
Overtime Calculation

Formulas

Normal Pay = Hours Worked × Hourly Rate
Time-and-a-Half Pay = Hours Worked × (Hourly Rate × 1.5)
Total Pay = Normal Pay + Overtime Pay

Theorems

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Suitable Grade Level

Grades 6-8