High School

Use the drawing tool(s) to form the correct answer on the provided number line.

Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup.

Find and graph the number of ounces of water, [tex]$x$[/tex], that Will could have put in each cup.

Answer :

The number of ounces of water Will could have put in each cup is 8 ounces.

1. Will started with 144 ounces of water in the cooler.

2. He used 16 ounces to fill his water bottle.

3. The remaining water in the cooler is:

144 - 16 = 128 ounces.

4. He then took 16 plastic cups for his teammates.

5. The water in each cup is calculated as:

128 รท 16 = 8 ounces.

6. The number line graph above highlights 8 ounces as the correct answer.

This means each of the 16 cups gets exactly 8 ounces of water.

Certainly! Let's solve this step by step:

1. Determine the initial amount and subtract water used for the bottle:
- Will starts with a cooler filled with 144 ounces of water.
- He uses 16 ounces to fill his water bottle.
- Therefore, the remaining water in the cooler is:
[tex]\[
144 \text{ ounces} - 16 \text{ ounces} = 128 \text{ ounces}
\][/tex]

2. Distribute the remaining water evenly:
- Will then takes out 16 plastic cups and wants to put the same amount of water in each cup.
- To find out how much water goes into each cup, we divide the remaining 128 ounces of water by the 16 cups:
[tex]\[
\frac{128 \text{ ounces}}{16 \text{ cups}} = 8 \text{ ounces per cup}
\][/tex]

So, Will puts 8 ounces of water into each of the 16 cups.

### Graphing on a Number Line

To represent this on a number line:

1. Draw a horizontal line, which will be your number line.
2. Mark increments corresponding to the amount of water in each cup.
3. Place a point at 8 ounces, indicating the amount of water Will puts in each cup.

Here is a basic conceptual description of your number line:

```
0 8 16 ... 128
|---|---|---|...|---|
```

You only need to mark from 0 to 8 because the answer is simply 8 ounces per cup. This visualization helps to clarify the distribution of water.