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Sierra has a bucket that originally contained 340 fluid ounces of water and is being filled at a rate of 7 ounces per minute. Brian has a bucket that originally contained 640 ounces of water and is being drained at a rate of 8 ounces per minute. How long will it take for both buckets to have the same amount of water?

Answer :

Answer:

It will take 20 minutes  for both buckets to have the same amount of water

Step-by-step explanation:

Let "t" be the time in minutes when both the buckets will fill

The total volume in bucket A after t minutes

[tex]340 + 7t[/tex]

The total volume in bucket B after t minutes

[tex]640-8t[/tex]

[tex]340 +7t = 640-8t\\15 t = 300\\t = 20[/tex]

It will take 20 minutes  for both buckets to have the same amount of water

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