Sierra's bucket is being filled at a rate of 5 fl oz per minute, so after x minutes, it will contain 260 + 5x fl oz of water.
Brian's bucket is being drained at a rate of 8 fl oz per minute, so after x minutes, it will contain 650 - 8x fl oz of water.
Since the two buckets will contain the same amount of water after x minutes, we can set up the equation 260 + 5x = 650 - 8x.
Combining like terms, we get 13x = 390.
Dividing both sides by 13, we get x = 30. Answer: \boxed{30}.
Sierra has a bucket that originally contained 260 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water?
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