After 25 minutes will both aquariums contain the same amount of water.
Given:
Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute.
Let y be the minutes
A(y) = 4.6 + 1.2y
B(x) = 54.6 - 0.8y
Same amount of water:
A(x) = B(x)
4.6 + 1.2y = 54.6 - 0.8y
1.2y + 0.8 y = 54.6 - 4.6
2y = 50
divide by 2 on both sides
2y/2 = 50/2
y = 25 minutes.
Therefore after 25 minutes will both aquariums contain the same amount of water.
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