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?
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}.
To find the number of weeks that need to pass for Sierra and Brian to have the same amount of savings, we can set up an equation to represent their savings.
Let's assume that after x weeks, Sierra's savings will be equal to Brian's savings.
Sierra's savings after x weeks can be calculated as:
S = 260 + 8x
Brian's savings after x weeks can be calculated as:
B = 650 - 5x
Setting these two expressions equal to each other, we get:
260 + 8x = 650 - 5x
To solve for x, let's isolate the x term on one side of the equation:
8x + 5x = 650 - 260
13x = 390
Dividing both sides of the equation by 13, we find:
x = 390 / 13
x = 30
Therefore, it will take 30 weeks for Sierra and Brian to have the same amount of savings.
To find the number of weeks that need to pass for Sierra and Brian to have the same amount of savings, we need to set up an equation. Let x be the number of weeks that have passed.
Sierra's savings after x weeks can be represented by the equation: Savings_Sierra(x) = $260 + $8*x
Brian's savings after x weeks can be represented by the equation: Savings_Brian(x) = $650 - $5*x
To find the number of weeks that need to pass for them to have the same amount of savings, we need to set the two equations equal to each other and solve for x:
$260 + $8*x = $650 - $5*x
Let's solve for x:
$8*x + $5*x = $650 - $260
$13*x = $390
x = $390 / $13
x = 30
Therefore, it will take 30 weeks for Sierra and Brian to have the same amount of savings.