Answer :
(6 bottles) x (16 ounce/bottle) = 96 ounces
(1 pitcher) x (1/2 gallon/pitcher) x (128 ounce/gallon) = 64 ounces
Total ounces taken from the full tank= (96 + 64) = 160 ounces
Ounces left in the water tank =
(Ounces in the tank before Tom started taking them out) minus (160) .
There are 160 ounces of water left in the water tank.
First, let's calculate the total volume of water used to fill the bottles and the pitcher.
Each bottle holds 16 ounces, and there are 6 bottles, so the total volume used for the bottles is [tex]\(16 \times 6 = 96\)[/tex] ounces.
The pitcher holds [tex]\(\frac{1}{2}\)[/tex] gallon. Since 1 gallon equals 128 ounces, [tex]\(\frac{1}{2}\)[/tex] gallon equals [tex]\(128 \div 2 = 64\)[/tex] ounces.
Therefore, the total volume used to fill the bottles and the pitcher is [tex]\(96 + 64 = 160\)[/tex] ounces.
If Tom used 160 ounces of water from a full tank, the amount of water left in the tank would be the initial volume of the tank minus the volume used. Since the tank was initially full, the initial volume is the same as the volume used.
Therefore, there are 160 ounces of water left in the water tank.