Final answer:
Brianna will need to save for 12 weeks before she can pay back her sister and buy the laptop.
Step-by-step explanation:
To determine how many weeks Brianna will need to save before she can pay back her sister and buy the laptop, we need to subtract the $35 she owes her sister from the $550 cost of the laptop. This gives us $550 - $35 = $515. Then, we divide $515 by the amount Brianna can save each week, which is $45. The number of weeks can be calculated as: $515 รท $45 = 11.44. Since we can't have a fraction of a week, we round up to the next whole number. Therefore, Brianna will need to save for 12 weeks before she can pay back her sister and buy the laptop.