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12 gallons of water fill a tank to 3/4 capicity. What is the capicity of the tank? If the tank is then filled to capicity, how many half-gallons bottles can be filled with the water in the tank?

Respuesta :

Answer:

The total capacity of the tank  = 16 gallons

32 bottles can be filled with the water in the tank.

Step-by-step explanation:

Let the total capacity of the tank = K gallons

Now here, according to the question

3/4 capacity  of the tank = 12 gallons

⇒[tex]\frac{3}{4}  \times K = 12\\orK = 12 \times \frac{4}{3}[/tex]

or, K = 16 Gallons

So, the total capacity of the tank is 16 gallons.

Now, capacity of 1 bottle =  0.5 gallon= (1/2) gallon

So, number of bottles filled = Capacity of each bottle x Total capacity of tank

n = 0.5 gallon x 16 gallons = 32 bottles

Hence, 32 bottles can be filled with the water in the tank.

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