Math Problem Statement

Vonda's gross income for one week in January was $1132.25. If Vonda's hourly rate is $32.35, how many hours did she work that week?

Solution

To find out how many hours Vonda worked, we need to use the formula for calculating the total income:

Gross Income=Hourly Rate×Hours Worked.\text{Gross Income} = \text{Hourly Rate} \times \text{Hours Worked}.

Given:

  • Gross Income = $1132.25
  • Hourly Rate = $32.35

Let's solve for the Hours Worked:

Hours Worked=Gross IncomeHourly Rate=1132.2532.35.\text{Hours Worked} = \frac{\text{Gross Income}}{\text{Hourly Rate}} = \frac{1132.25}{32.35}.

Let's calculate this division.Vonda worked 35 hours that week.

Would you like a more detailed explanation or have any further questions?

Here are 5 related questions you might find useful:

  1. How would the calculation change if her hourly rate were different?
  2. What would her gross income be if she worked 40 hours at the same rate?
  3. How can we calculate overtime pay if she worked more than 40 hours?
  4. What is the formula to find the hourly rate if the gross income and hours worked are known?
  5. How would you calculate her net income after taxes?

Tip: To find the hourly rate, hours worked, or total income, remember the relationship: Gross Income=Hourly Rate×Hours Worked\text{Gross Income} = \text{Hourly Rate} \times \text{Hours Worked}.

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Division
Rate and Proportion

Formulas

Gross Income = Hourly Rate × Hours Worked
Hours Worked = Gross Income ÷ Hourly Rate

Theorems

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Suitable Grade Level

Grades 5-7