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Louis is filling two tanks of water in his home. Tank A currently contains 27 gallons and has a hose filling it at
a rate of 3 gallons per minute. The other tank, Tank B, has 38 gallons and is being filled at a rate of 2 gallons
per minute.
. Write a system of equations that can be used to determine when the tanks will have an equal amount of
water after being filled for the same amount of time.
• How many minutes will it take for the tanks to have an equal amount of water? Show your work.


Sagot :

It will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

Since Louis is filling two tanks of water in his home, and Tank A currently contains 27 gallons and has a hose filling it at a rate of 3 gallons per minute, while the other tank, Tank B, has 38 gallons and is being filled at a rate of 2 gallons per minute, to determine how many minutes will it take for the tanks to have an equal amount of water, the following calculation must be made:

  • 27/3 = 9
  • 27/2 = 13.5
  • 13.5 = 13 minutes 30 seconds

Therefore, it will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

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