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.
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.