Use the information provided to answer Part A and Part B for question 31.

Tom has a water tank that holds 5 gallons of water.

31. Part A

Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces and a pitcher that holds [tex]\frac{1}{2}[/tex] gallon. How many ounces of water are left in the water tank?

Enter your answer in the box.

We start by converting the water tank’s capacity from gallons to ounces. Since one gallon is [tex]$128$[/tex] ounces, a tank of [tex]$5$[/tex] gallons contains

[tex]$$
5 \times 128 = 640 \text{ ounces}.
$$[/tex]

Next, Tom fills [tex]$6$[/tex] bottles, each holding [tex]$16$[/tex] ounces. Thus, the total amount used for the bottles is

[tex]$$
6 \times 16 = 96 \text{ ounces}.
$$[/tex]

Additionally, he fills a pitcher that holds [tex]$\frac{1}{2}$[/tex] gallon. Converting this amount to ounces gives

[tex]$$
\frac{1}{2} \times 128 = 64 \text{ ounces}.
$$[/tex]

Now, the total amount of water used is the sum of the water for the bottles and the pitcher:

[tex]$$
96 + 64 = 160 \text{ ounces}.
$$[/tex]

Finally, to determine the amount of water left in the tank, subtract the total water used from the initial amount:

[tex]$$
640 - 160 = 480 \text{ ounces}.
$$[/tex]

Thus, there are [tex]$\boxed{480}$[/tex] ounces of water left in the tank.