My fuel is at 80% full. After traveling some distance, only 30% of that fuel is left. I fill the tank to full capacity by putting in 19 gallons. What is the full capacity of my tank?
First you have to find what percent of the tank is left after 30% of 80% of the fuel has been spent
76% of the tank equals 19 gallons set up a ratio
Now divide both sides by 76
Full tank capacity is 25 gallons
The only thing we are interested is the tank. Not the distance travelled.
The tank has 30% of its original content left.
Thus the amount of fuel left is 30% of 80%
Amount of the whole tank taken up by fuel is:
So the free space left in the tank by volume is
We know that it takes 19 gallons to fill up the 76% volume left.
So by ratio we have:
To change 76 into 100 we multiply it by