Answer: it will take 73 weeks for the amount of water in the two tanks be the same.
Explanation:
Let x represent the number of weeks it will take for the amount of water in the two tanks be the same.
A water tank holds 1,168 gallons but is leaking at a rate of 5 gallons per week. It means that the number of gallons that would be in the tank after x weeks is
1168 - 5x
A second water tank holds 1,460 gallons but is leaking at a rate of 9 gallons per week. It means that the number of gallons that would be in the tank after x weeks is
1460 - 9x
For the amount of water in both tanks to be the same, the number of weeks would be
1168 - 5x = 1460 - 9x
- 5x + 9x = 1460 - 1168
4x = 292
x = 292/4
x = 73