College

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

Answer :

Let's solve the problem step-by-step:

1. Start with the total amount of water: We know that the cooler initially contained 144 ounces of water.

2. Subtract the water used for the bottle:
- Will used 16 ounces from the cooler to fill his water bottle.
- To find out how much water is left, subtract 16 ounces from 144 ounces:
[tex]\[ 144 - 16 = 128 \][/tex]
- So, there are 128 ounces of water remaining in the cooler.

3. Distribute the remaining water equally among the cups:
- Will has 16 plastic cups for his teammates.
- We need to divide the 128 ounces of remaining water equally among these 16 cups.
- Calculate how many ounces each cup will contain by dividing the remaining water by the number of cups:
[tex]\[ \frac{128}{16} = 8 \][/tex]

4. Result:
- Each cup can be filled with 8 ounces of water.

Now, if you are to graph this on a number line:
- Mark the number 8 on the number line as the amount of water in each cup.

This is a clear step-by-step explanation of how to determine the number of ounces of water, [tex]\( x \)[/tex], that Will could have put in each cup.