Allen still lives with his parents, earns $13.75 an hour and works an average of 38 hours per week. He pays $75 toward his own cell phone bill out of each weekly check and he spends $50 per week on himself. His move out expenses are $4,300. How many weeks of work before he can move out on his own?

Let's calculate how many weeks Allen needs to work before he can move out.

1. **Weekly Earnings**:
   Allen earns $13.75 per hour and works 38 hours per week, so his weekly earnings are:
   \[
   13.75 \times 38 = 522.50 \text{ per week.}
   \]

2. **Weekly Deductions**:
   He pays $75 for his cell phone bill and spends $50 on himself weekly, so his total weekly expenses are:
   \[
   75 + 50 = 125 \text{ per week.}
   \]

3. **Weekly Savings**:
   To find out how much Allen can save per week, subtract his weekly expenses from his weekly earnings:
   \[
   522.50 - 125 = 397.50 \text{ per week.}
   \]

4. **Number of Weeks**:
   Allen's move-out expenses are $4,300. To calculate how many weeks of work are required to save that amount, divide the total expenses by his weekly savings:
   \[
   \frac{4300}{397.50} \approx 10.82.
   \]

   Allen needs to work **11 weeks** to save enough to move out.

---

Would you like more details or have any questions? Here are some related questions to consider:

1. How would his savings change if his hourly rate increased by $1?
2. What if his weekly spending on himself increased by $10?
3. How much would he save in a year with these weekly savings?
4. What if his work hours increased by 5 hours each week?
5. How many weeks would it take if his move-out expenses were $5,000?

**Tip**: Keep track of small expenses, as they can significantly impact your savings over time.

Learn how to calculate how many weeks Allen needs to work to save $4,300 based on his $13.75/hour wage, 38-hour workweek, and weekly expenses. This problem covers budgeting and savings calculation. Ideal for students in Grades 6-8.

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