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?

To determine how many weeks Shaniya will need to work before she can move out, we need to follow these steps:

1. **Calculate Shaniya's weekly income:**

   \[
   \text{Weekly Income} = \text{Hourly Rate} \times \text{Hours per Week}
   \]

   \[
   \text{Weekly Income} = 15.85 \times 36 = 570.60
   \]

2. **Calculate her total weekly expenses:**

   She pays her parents $90 per week for the water bill and spends $75 on herself.

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

3. **Calculate how much she saves per week:**

   \[
   \text{Weekly Savings} = \text{Weekly Income} - \text{Total Weekly Expenses}
   \]

   \[
   \text{Weekly Savings} = 570.60 - 165 = 405.60
   \]

4. **Determine how many weeks she needs to save to cover the move-out expenses:**

   \[
   \text{Number of Weeks} = \frac{\text{Move-Out Expenses}}{\text{Weekly Savings}}
   \]

   \[
   \text{Number of Weeks} = \frac{4800}{405.60} \approx 11.84
   \]

So, Shaniya will need to work approximately **12 weeks** to save enough money to move out on her own.

Would you like more details on any step? Here are 5 related questions for deeper exploration:

1. How would the timeline change if Shaniya worked more hours per week?
2. What if Shaniya’s move-out expenses increased by 10%?
3. How much would Shaniya need to save if her rent after moving out is $800 per month?
4. What happens if her hourly wage increases to $18?
5. How much could Shaniya save in a year at this rate?

**Tip:** Tracking weekly savings can help plan for long-term financial goals more effectively.

Find out how many weeks Shaniya needs to save $4,800 to move out, considering her $15.85 hourly wage, 36 hours of work per week, and weekly expenses. This problem involves basic arithmetic and linear equations, ideal for students in Grades 6-8.

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