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Answer :
To determine how many kilograms a crate containing 25,500 ounces (oz) of rice is, follow these steps:
1. Convert ounces to pounds:
- We know that [tex]\(1\)[/tex] pound (lb) is equal to [tex]\(16\)[/tex] ounces (oz).
- Therefore, the number of pounds in [tex]\(25,500\)[/tex] ounces is calculated by dividing the total ounces by the number of ounces per pound.
[tex]\[
\text{pounds} = \frac{25,500 \text{ oz}}{16 \text{ oz/lb}} = 1,593.75 \text{ lb}
\][/tex]
2. Convert pounds to kilograms:
- We know that [tex]\(1\)[/tex] pound (lb) is equal to [tex]\(0.454\)[/tex] kilograms (kg).
- Therefore, the number of kilograms is calculated by multiplying the number of pounds by the kilogram equivalent of one pound.
[tex]\[
\text{kilograms} = 1,593.75 \text{ lb} \times 0.454 \text{ kg/lb} = 723.5625 \text{ kg}
\][/tex]
Based on these calculations, a crate containing [tex]\(25,500\)[/tex] ounces of rice weighs approximately [tex]\(723.5625\)[/tex] kilograms.
Therefore, the correct answer from the options provided is:
[tex]\[
\boxed{724 \text{ kg}}
\][/tex]
1. Convert ounces to pounds:
- We know that [tex]\(1\)[/tex] pound (lb) is equal to [tex]\(16\)[/tex] ounces (oz).
- Therefore, the number of pounds in [tex]\(25,500\)[/tex] ounces is calculated by dividing the total ounces by the number of ounces per pound.
[tex]\[
\text{pounds} = \frac{25,500 \text{ oz}}{16 \text{ oz/lb}} = 1,593.75 \text{ lb}
\][/tex]
2. Convert pounds to kilograms:
- We know that [tex]\(1\)[/tex] pound (lb) is equal to [tex]\(0.454\)[/tex] kilograms (kg).
- Therefore, the number of kilograms is calculated by multiplying the number of pounds by the kilogram equivalent of one pound.
[tex]\[
\text{kilograms} = 1,593.75 \text{ lb} \times 0.454 \text{ kg/lb} = 723.5625 \text{ kg}
\][/tex]
Based on these calculations, a crate containing [tex]\(25,500\)[/tex] ounces of rice weighs approximately [tex]\(723.5625\)[/tex] kilograms.
Therefore, the correct answer from the options provided is:
[tex]\[
\boxed{724 \text{ kg}}
\][/tex]
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