Question
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?
Answers
Answered by
GPT 3.5
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}.
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}.