Janelle still lives with her parents, earns $15.00 an hour and works an average of 30 hours per week. She spends $40 per week on herself. Her move out expenses are $7,575. How many weeks will she have to work before she can move out on her own?

To determine how many weeks Janelle needs to work before she can afford to move out, we need to calculate her weekly savings and then see how long it will take her to accumulate the $7,575 needed.

### Step 1: Calculate Janelle's weekly earnings
Janelle earns $15.00 per hour and works 30 hours per week.

\[
\text{Weekly earnings} = 15 \times 30 = 450
\]

### Step 2: Calculate Janelle's weekly expenses
Janelle spends $40 per week on herself.

### Step 3: Calculate Janelle's weekly savings
Subtract her weekly expenses from her weekly earnings to find her savings.

\[
\text{Weekly savings} = 450 - 40 = 410
\]

### Step 4: Calculate the number of weeks needed to save $7,575
To find how many weeks it will take to save $7,575, divide the total amount needed by her weekly savings.

\[
\text{Number of weeks} = \frac{7575}{410} \approx 18.47
\]

Since Janelle cannot work a fraction of a week, she will need to work **19 weeks** to save enough money to move out.

### Final Answer
Janelle will need to work **19 weeks** before she can move out on her own.

Would you like to see any details, or do you have any questions?

### Related Questions:
1. How would her savings change if her weekly expenses increased?
2. What if her hourly wage increased to $18 per hour? How many weeks would she need then?
3. How much would she need to save weekly if she wants to move out in 15 weeks?
4. If her expenses were $60 per week, how many weeks would she need to save?
5. What if she worked 35 hours per week instead? How would that affect her savings?

**Tip:** Consistently reviewing your savings and expenses can help you reach your financial goals faster.

Learn how to calculate the number of weeks Janelle needs to save $7,575 to move out on her own. This problem involves basic arithmetic concepts such as weekly earnings, expenses, and savings calculations. Perfect for students in Grades 6-8.

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