Math Problem Statement

Jacov still lives with his parents, earns $12.50 an hour and works an average of 28 hours per week. He spends $200 per week on himself. His move out expenses are $5,500. How many weeks will he have to work before he can move out on his own?

Solution

To determine how many weeks Jacov will need to work before he can move out, we'll first calculate his weekly savings.

Step 1: Calculate Jacov's weekly earnings.

Jacov earns $12.50 per hour and works 28 hours per week.

Weekly Earnings=12.50×28=350\text{Weekly Earnings} = 12.50 \times 28 = 350

Step 2: Calculate Jacov's weekly savings.

Jacov spends $200 per week on himself, so his savings per week are:

Weekly Savings=350200=150\text{Weekly Savings} = 350 - 200 = 150

Step 3: Calculate the number of weeks needed to save $5,500.

Finally, divide his total move-out expenses by his weekly savings to find out how many weeks it will take him to save up:

Weeks to Save=5,50015036.67\text{Weeks to Save} = \frac{5,500}{150} \approx 36.67

Conclusion:

Jacov will need to work approximately 37 weeks before he can move out on his own.

Would you like more details on any part of this calculation? Here are five questions to consider:

  1. How would Jacov’s savings change if his spending habits adjusted?
  2. What if Jacov received a raise? How would this affect his savings timeline?
  3. What could happen if Jacov had an unexpected expense before moving out?
  4. How would the timeline change if Jacov decided to save more money each week?
  5. Could Jacov achieve his goal faster by working more hours or reducing expenses?

Tip: Tracking all expenses carefully is essential to save effectively and meet financial goals.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Linear Equations

Formulas

Weekly Earnings = Hourly Wage × Hours Worked
Weekly Savings = Weekly Earnings - Weekly Spending
Weeks to Save = Total Move-Out Expenses / Weekly Savings

Theorems

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Suitable Grade Level

Grades 6-8