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Answer :
Sure! Let's work through this question together, step by step, to determine the fraction that represents the amount of water remaining after Ezra has filled the maximum number of bottles.
1. Start with the total amount of water:
Ezra has 4,005 ounces of filtered water to use for filling bottles.
2. Each bottle can hold a certain amount:
Each bottle can hold 16 ounces of water.
3. Determine how many full bottles Ezra can fill:
To find out how many full bottles Ezra can fill, divide the total amount of water (4,005 ounces) by the number of ounces each bottle can hold (16 ounces).
[tex]\[
\text{Number of full bottles} = \frac{4005}{16} = 250
\][/tex]
So, Ezra can fill 250 full bottles.
4. Calculate the remaining water:
After filling 250 bottles, there will be some water left over. To find out how much water remains, calculate the remainder of the division:
[tex]\[
\text{Remaining water} = 4005 \mod 16 = 5 \text{ ounces}
\][/tex]
5. Determine the fraction of the remaining water:
The remaining water is 5 ounces. We want to express this as a fraction of a full bottle, which is 16 ounces:
[tex]\[
\text{Fraction of remaining water} = \frac{5}{16}
\][/tex]
6. Conclusion:
The fraction [tex]\(\frac{5}{16}\)[/tex] represents the amount of water remaining after filling the maximum number of bottles.
Therefore, the correct answer is [tex]\(\frac{5}{16}\)[/tex].
1. Start with the total amount of water:
Ezra has 4,005 ounces of filtered water to use for filling bottles.
2. Each bottle can hold a certain amount:
Each bottle can hold 16 ounces of water.
3. Determine how many full bottles Ezra can fill:
To find out how many full bottles Ezra can fill, divide the total amount of water (4,005 ounces) by the number of ounces each bottle can hold (16 ounces).
[tex]\[
\text{Number of full bottles} = \frac{4005}{16} = 250
\][/tex]
So, Ezra can fill 250 full bottles.
4. Calculate the remaining water:
After filling 250 bottles, there will be some water left over. To find out how much water remains, calculate the remainder of the division:
[tex]\[
\text{Remaining water} = 4005 \mod 16 = 5 \text{ ounces}
\][/tex]
5. Determine the fraction of the remaining water:
The remaining water is 5 ounces. We want to express this as a fraction of a full bottle, which is 16 ounces:
[tex]\[
\text{Fraction of remaining water} = \frac{5}{16}
\][/tex]
6. Conclusion:
The fraction [tex]\(\frac{5}{16}\)[/tex] represents the amount of water remaining after filling the maximum number of bottles.
Therefore, the correct answer is [tex]\(\frac{5}{16}\)[/tex].
Thanks for taking the time to read Ezra is filling bottles of water to hand out during a race Each bottle holds 16 ounces and he has 4 005 ounces of filtered. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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