Question

12gallons of water fill a tank to 3/4 capacity what is the capacity of the tank question a if the tank is then filled to capacity,how many half - gallon bottles can be filled with the water in the tank

Answer 1

Tank is 16 gallons, which will fill 32 half-gallon bottles.

Explanation:

Let x be the capacity of the tank.

We are told that 12 gallons of water will fill the tank, x, to 3/4 capacity. We can write that as:

12 gallons = (3/4)x

x = (4/3)*12 gallons

x = 16 gallons

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How many half - gallon bottles [0.5 gallon/bottle] can be filled if the tank is at capacity, 16 gallons?

16 gallons*(bottle/0.5 gallon) = 32 half - gallon bottles

Note that [0.5 gallon/bottle] is a conversion factor. We can invert it to [bottle/0.5 gallon] and it is still valid.