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

Respuesta :


We need to find out how many gallons will fill the whole tank

we first write 3/4 into its decimal fraction. 3/4 = 0.75.

Now we form an equation

0.75 = 12

    1 = x     (where x is he number of gallons needed to fill whole tank)

Simplify the equation:

0.75 × x = 12 × 1

0.75x = 12

       x = 12 / 0.75

        x = 16

It will take 16 gallons to fill whole tank to capacity.

Half gallon bottles that can be filled  from the tank are:16 x 2 = 32

So 32 half gallon bottles can be filled from the full tank.