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 5 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.
Let's denote the number of weeks required to save enough money to buy the video game system as "w".
The amount of money you have in your piggy bank is currently $60. Your parents give you $20 per week, so over "w" weeks, you will have received a total of 20w dollars from your parents.
You can also work 5 hours per week and make $15 per hour, so you will earn a total of 5 * 15w = 75w dollars from working over "w" weeks.
So, the total amount of money you will have after "w" weeks will be: 60 + 20w + 75w.
According to the problem, this amount of money must be enough to buy the video game system, which costs $440 with tax. Therefore, we can set up the following equation:
60 + 20w + 75w = 440.
Combining like terms:
95w + 60 = 440.
Subtracting 60 from both sides:
95w = 380.
Dividing both sides by 95:
w = 380 / 95 = 4.
Thus, it will take you 4 weeks to save enough money to buy the video game system.