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Answer :
To determine how many 750-milliliter bottles of wine are needed for a 300-person banquet, where each guest is served a 5-fluid-ounce glass of white wine, follow these steps:
1. Understand the wine requirement per guest:
Each guest will receive a 5-fluid-ounce serving of wine.
2. Convert fluid ounces to milliliters:
Since 1 fluid ounce is approximately 29.5735 milliliters, we can convert the 5 fluid ounces of wine per guest:
[tex]\[
5 \, \text{fluid ounces} \times 29.5735 \, \text{milliliters/ounce} = 147.8675 \, \text{milliliters}
\][/tex]
3. Calculate total wine needed for all guests:
Multiply the wine needed per guest by the total number of guests (300):
[tex]\[
300 \times 147.8675 \, \text{milliliters} = 44360.25 \, \text{milliliters}
\][/tex]
4. Determine how many bottles are needed:
Since each bottle contains 750 milliliters, divide the total wine needed by the capacity of a single bottle:
[tex]\[
\frac{44360.25 \, \text{milliliters}}{750 \, \text{milliliters/bottle}} \approx 59.147
\][/tex]
5. Round up to the nearest whole number:
Since you cannot purchase a fraction of a bottle, round up to ensure there's enough wine:
[tex]\[
60 \, \text{bottles}
\][/tex]
Therefore, to ensure that every guest receives their glass of wine, you will need to purchase 60 bottles. This corresponds with option d.
1. Understand the wine requirement per guest:
Each guest will receive a 5-fluid-ounce serving of wine.
2. Convert fluid ounces to milliliters:
Since 1 fluid ounce is approximately 29.5735 milliliters, we can convert the 5 fluid ounces of wine per guest:
[tex]\[
5 \, \text{fluid ounces} \times 29.5735 \, \text{milliliters/ounce} = 147.8675 \, \text{milliliters}
\][/tex]
3. Calculate total wine needed for all guests:
Multiply the wine needed per guest by the total number of guests (300):
[tex]\[
300 \times 147.8675 \, \text{milliliters} = 44360.25 \, \text{milliliters}
\][/tex]
4. Determine how many bottles are needed:
Since each bottle contains 750 milliliters, divide the total wine needed by the capacity of a single bottle:
[tex]\[
\frac{44360.25 \, \text{milliliters}}{750 \, \text{milliliters/bottle}} \approx 59.147
\][/tex]
5. Round up to the nearest whole number:
Since you cannot purchase a fraction of a bottle, round up to ensure there's enough wine:
[tex]\[
60 \, \text{bottles}
\][/tex]
Therefore, to ensure that every guest receives their glass of wine, you will need to purchase 60 bottles. This corresponds with option d.
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