Betty still lives with her parents, earns $14.55 an hour and works an average of 32 hours per week. To help her family with their water bill, she pays her parents $30 and she spends $75 per week on herself. Her move out expenses are $4,200. How many weeks will she have to work before she can move out on her own?

To calculate how many weeks Betty will have to work before she can move out, let's break down her weekly savings and expenses.

### Step 1: Calculate her weekly income
Betty earns $14.55 per hour and works an average of 32 hours per week.
\[
\text{Weekly Income} = 14.55 \times 32 = 465.60
\]

### Step 2: Subtract her weekly expenses
- She pays her parents $30 for the water bill.
- She spends $75 on herself each week.

Thus, her total weekly expenses are:
\[
\text{Weekly Expenses} = 30 + 75 = 105
\]

### Step 3: Calculate her weekly savings
Her weekly savings are the difference between her weekly income and her weekly expenses:
\[
\text{Weekly Savings} = 465.60 - 105 = 360.60
\]

### Step 4: Determine how many weeks she needs to save $4,200
To find how many weeks Betty will need to save $4,200, divide the total amount she needs by her weekly savings:
\[
\text{Number of Weeks} = \frac{4200}{360.60} \approx 11.65
\]

Thus, Betty will need approximately **12 weeks** to save enough to move out.

---

Do you need more details on any of the steps or have questions?

Here are 5 related questions you might consider:
1. What if Betty’s weekly expenses increase? How would that affect her savings plan?
2. How much would Betty save in a year with her current savings rate?
3. If Betty worked 40 hours per week instead of 32, how would that change the number of weeks needed?
4. What if Betty's move-out expenses increased to $5,000? How many weeks would it take then?
5. What if Betty decided to contribute $50 per week to her parents? How would that change her savings rate?

**Tip:** Always account for possible increases in expenses when planning savings, as costs often fluctuate.

Find out how long it will take Betty, who earns $14.55 per hour and works 32 hours a week, to save $4,200 for her move-out expenses. Learn how her weekly income, expenses, and savings are calculated step-by-step. This problem is suitable for students in Grades 6-8 and involves basic arithmetic and savings calculations.

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