Math Problem Statement

Shaniya still lives with her parents, earns $15.85 an hour and works an average of 36 hours per week. To help her family with their water bill, she pays her parents $90 and she spends $75 per week on herself. Her move out expenses are $4,800. How many weeks will she have to work before she can move out on her own?

Solution

To determine how many weeks Shaniya will need to work before she can move out, we need to calculate how much she saves each week and then determine how long it will take for her savings to reach her moving out expenses.

Step 1: Calculate Shaniya's weekly income

Shaniya earns $15.85 per hour and works an average of 36 hours per week.

Weekly Income=15.85×36=570.60\text{Weekly Income} = 15.85 \times 36 = 570.60

Step 2: Calculate Shaniya's weekly expenses

Shaniya pays $90 to help with the water bill and spends $75 on herself.

Total Weekly Expenses=90+75=165\text{Total Weekly Expenses} = 90 + 75 = 165

Step 3: Calculate Shaniya's weekly savings

Subtract her total weekly expenses from her weekly income.

Weekly Savings=570.60165=405.60\text{Weekly Savings} = 570.60 - 165 = 405.60

Step 4: Determine how many weeks Shaniya needs to save

Shaniya's move-out expenses are $4,800. To find out how many weeks it will take to save this amount, divide her move-out expenses by her weekly savings.

Weeks to Move Out=4800405.6011.84\text{Weeks to Move Out} = \frac{4800}{405.60} \approx 11.84

Shaniya will need approximately 12 weeks to save enough to move out.


Would you like more details or have any other questions?

Here are 5 related questions:

  1. What would happen if her weekly expenses increased by $20?
  2. How much would she save in a year at her current rate?
  3. How much more would she save per week if she worked 40 hours instead of 36?
  4. What would happen if she received a raise to $17 per hour?
  5. How much time would she save if her move-out expenses dropped to $4,000?

Tip: Tracking your weekly expenses and savings can help you plan for large future expenses like moving out.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Linear Equations

Formulas

Weekly Income = Hourly Wage × Hours Worked
Weekly Savings = Weekly Income - Weekly Expenses
Weeks to Move Out = Move Out Expenses / Weekly Savings

Theorems

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Suitable Grade Level

Grades 5-7