Aria needs $929 to buy a game system. She has already saved $628. She gets $14 an hour for doing yard work, and will work 16 hours in the next month. She can save $6 a week from her allowance. How many weeks of allowance will it take Aria to save enough to buy the game system? Complete parts a and b.

a) Aria still needs a total of $929 - $628 = $<<929-628=301>>301 to buy the game system.

b) Aria will earn 16 hours * $14/hour = $<<16*14=224>>224 from doing yard work.
Thus, Aria needs to save an additional $301 - $224 = $<<301-224=77>>77.
Therefore, Aria will need $77 รท $6/week = <<77/6=12.83>>12.83 weeks.
Since Aria cannot save a fraction of a week, it will take her 13 weeks to save enough to buy the game system. Answer: \boxed{13}.