Question 221048
Let x = number of minutes 
75 x = amount of water transferred


1600-75x = amount of water in the larger tank after x minutes draining
550 + 75x = amount of water in the tank being filled after x minutes of filling


1600-75x = 550 + 75x


Add +75x to each side.
1600=550 + 75x+75x


Subtract 550 from each side:
1050= 150x


Divide by 150
7=x


Final Answer = 7 minutes.


Check:  After 7 minutes, 7*75 = 525 gallons of water transferred


550+525 = 1075 gallons in first tank
1600-525 = 1075 gallons in second tank


R^2


Dr. Robert J. Rapalje