Given that the tank is 1/3 full of water, and that it requires 16 gallons to fill.

1 full tank -1/3 tank = 2/3 of the tank is empty, which is equal to 16 gallons.

If 2/3 of the tank equals 16 gallons, this means 1/3 of the tank is equal to 16 / 2 gallons = 8 gallons

The total capacity of the tank or how much the tanks holds = 16 + 8 = <<16+8=24>>24 gallons

# Answer

24
<|im_start|>system
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<|im_start|>user
The gauge on a water tank shows that the tank is 1/3 full of water. To fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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user
24
The gauge on a water tank shows that the tank is 1/3 full of water. To fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?
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