Nina wants to buy a new video game with her allowance money. The game cost 50 dollars. Nina also has learned that there is a 10 percent sales tax. She receives 10 dollars a week as an allowance, and thinks she can save half of that. How many weeks will it take for Nina to be able to buy the new video game with her savings?
Thoughts? Step-by-step reasoning:
The 10 percent tax on 50 dollars will be 10 / 100 x 50 = 5 dollars. The cost of the game and the tax will be 50 + 5 = 55 dollars. Nina will save half of her allowance every week, or 10 / 2 = 5 dollars per week. The total cost of the game and tax, divided by Nina's weekly savings is 55 / 5 = 11 weeks.
Thus, the answer is 11.