You are saving moneyto buy a $200 video game system.You earn $20 a week for doing chores around the house.You get $35 from a reliative on your birthday.How many whole weeks will it take for you to have enough money to buy the system? You are charged 7% sales tax for the system.Will it take longer to buy the system?

200 * 1.07 = $214 total cost for game

35 + 20x = 214

20x = 214 - 35

20x = 179

x = 8.95 = 9 weeks

thank you very much for helpig me on my homework.

You're very welcome.

To calculate how many weeks it will take for you to have enough money to buy the video game system, let's start by calculating your total earnings:

Earnings from doing chores per week: $20
Birthday money received: $35

Total earnings per week: $20 + $35 = $55

Next, let's calculate the amount of money you need to save to cover the cost of the video game system, including the 7% sales tax:

Cost of the video game system: $200
Sales tax (7%): $200 * 0.07 = $14

Total cost of the video game system, including tax: $200 + $14 = $214

Now, let's calculate the number of weeks it will take to save enough money:

Number of weeks = Total cost of the video game system / Total earnings per week
Number of weeks = $214 / $55 ≈ 3.89 weeks

Since you cannot have a fraction of a week, we round up to the nearest whole number:

Number of weeks = 4 weeks

So, it will take approximately 4 weeks for you to save enough money to buy the video game system.

To answer your second question, it will not take longer to buy the system, as you will have enough money in 4 weeks, which is less than the time it takes for the system to be available.