Math Problem Statement

A worker is paid $15.50 per hour for a 38-hour week and "a time and a half" for each hour worked over the 38 hours. How much will the worker be entitled to (before tax), if the worker worked 46 hours in the same week.

Solution

To calculate how much the worker will be entitled to (before tax) for working 46 hours in a week, we need to break the calculation into two parts:

  1. Regular pay: The worker is paid $15.50 per hour for the first 38 hours. Regular pay=38×15.50=589\text{Regular pay} = 38 \times 15.50 = 589

  2. Overtime pay: The worker is paid "time

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Multiplication
Overtime Pay Calculation

Formulas

Regular Pay = Regular Hours × Hourly Wage
Overtime Pay = Overtime Hours × 1.5 × Hourly Wage
Total Pay = Regular Pay + Overtime Pay

Theorems

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Suitable Grade Level

Grades 6-8