you need to save up to buy a video game system that cost a total of $440 with tax. You currently have $60 in your piggy bank. Your parents will give you $20 per week for allowance and you can work five hours per week and make $15 per hour. How many weeks will it take to save enough money to buy the video game system? Set up an equation and show all steps as you solve the problem.
To solve this problem, we need to determine the number of weeks it will take to save enough money to buy the video game system.
Let's break down the information provided:
- Starting savings = $60
- Weekly allowance = $20
- Hourly wage = $15
- Cost of the video game system with tax = $440
The equation to represent the problem is:
Starting savings + (Weekly allowance * Number of weeks) + (Number of hours worked * Hourly wage * Number of weeks) = Cost of the video game system
Using this equation, we can solve for the number of weeks it will take.
Let's start solving the equation step by step:
Step 1: Starting savings = $60
Step 2: Weekly allowance = $20
Step 3: Hourly wage = $15
Step 4: Cost of the video game system with tax = $440
Thus, the equation becomes:
$60 + ($20 * Number of weeks) + (5 * $15 * Number of weeks) = $440
Simplifying the equation further:
$60 + $20 * Number of weeks + $75 * Number of weeks = $440
$95 * Number of weeks = $440 - $60
$95 * Number of weeks = $380
Now, divide both sides of the equation by $95 to isolate the variable:
Number of weeks = $380 / $95
Number of weeks = 4
Therefore, it will take 4 weeks to save enough money to buy the video game system.