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?

Question

Aurora Arias · Accepted Answer

25 gallons

First you have to find what percent of the tank is left after 30% of 80% of the fuel has been spent multiply #80% xx 30% = 24%# of the tank is left. now subtract #100% - 24% = 76%# of the tank has been used. #76/100 = 19/x " multiply both sides by " 100x# # (100x ) xx76/100 = (100x ) xx 19/x# this gives # 76 xx x = 100 xx 19 # Now divide both sides by 76 # (76 x) / 76 = 1900/76 # this gives #x = 25 #

Nova Allen · Answer

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: #30/100xx80/100 = 24/100 -=24%# So the free space left in the tank by volume is #100%-24% = 76% ->76/100# We know that it takes 19 gallons to fill up the 76% volume left. So by ratio we have: #("19 gallons")/("76% volume")-=("Full volume in gallons")/("100% volume")# To change 76 into 100 we multiply it by #100/76# but as this is a ratio we must also multiply the top value the same way. #=(19xx100/76)/(74xx100/76) = 25/100 -> ("25 gallons")/("full tanks")#

Aurora Arias · Answer

undefined If you filled the tank with 19 gallons to reach full capacity and it was initially at 80% full, then the amount of fuel added was 20% of the tank's capacity. To find the full capacity of the tank, you can set up the equation:

19 gallons = 20% of full capacity

Solve for the full capacity:

Full capacity = 19 gallons / (20/100)
              = 19 gallons / 0.20
              = 95 gallons

So, the full capacity of your tank is 95 gallons.