You need to save up to buy a video game system that costs 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 5 hours per week and make $15 per hour. How many weeks will it take to save up 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 can set up an equation and solve for the number of weeks it will take to save up enough money.
Let's denote the number of weeks as "w."
First, let's calculate the total amount of money you will have from your parents' allowance:
Parents' allowance = $20 x w
Next, let's calculate the total amount of money you will earn from working:
Money earned from working = $15 x 5 x w
Now, let's add up the money from your piggy bank, parents' allowance, and money earned from working:
Total money = $60 + Parents' allowance + Money earned from working
Since the total cost of the video game system is $440, we can set up an equation:
Total money = $440
Now let's substitute the values into the equation and solve for "w":
$60 + $20w + ($15 x 5 x w) = $440
Combine like terms:
$60 + $20w + $75w = $440
Combine the "w" terms:
$95w + $60 = $440
Subtract $60 from both sides of the equation:
$95w = $380
Divide both sides of the equation by $95 to solve for "w":
w = $380 / $95
Simplify:
w = 4
Therefore, it will take 4 weeks to save up enough money to buy the video game system.