Sierra started with savings of $260 and adds $8 of her savings every week. Brian started with savings of $650 and spends $5 of his savings every week. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of savings?

Answer 1

For Sierra, the amount of her savings after x weeks is 260 + 8x.
For Brian, the amount of his savings after x weeks is 650 - 5x.
To find x, we need to solve the equation 260 + 8x = 650 - 5x.
Adding 5x to both sides, we get 260 + 13x = 650.
Subtracting 260 from both sides, we get 13x = 390.
Dividing both sides by 13, we get x = <<30=30>>30.
So, x = 30. Answer: \boxed{30}.