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Answer :
To determine how many kilograms (kg) are in a crate containing 25,500 ounces (oz) of rice, we'll follow these steps:
1. Convert ounces to pounds:
Given that there are 16 ounces in 1 pound, we divide the total number of ounces by 16 to get the weight in pounds.
[tex]\[
\text{Weight in pounds} = \frac{25,500 \text{ oz}}{16} = 1593.75 \text{ lbs}
\][/tex]
2. Convert pounds to kilograms:
Given that 1 pound is approximately 0.454 kilograms, we multiply the weight in pounds by 0.454 to get the weight in kilograms.
[tex]\[
\text{Weight in kilograms} = 1593.75 \text{ lbs} \times 0.454 \text{ kg/lb} = 723.5625 \text{ kg}
\][/tex]
Therefore, the weight of the rice in the crate is approximately [tex]\(723.5625 \, \text{kg}\)[/tex].
Looking at the provided choices:
- [tex]\(351 \, \text{kg}\)[/tex]
- [tex]\(724 \, \text{kg}\)[/tex]
- [tex]\(25,500 \, \text{kg}\)[/tex]
- [tex]\(185,000 \, \text{kg}\)[/tex]
The closest value to our calculated weight of [tex]\(723.5625 \, \text{kg}\)[/tex] is [tex]\(724 \, \text{kg}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{724 \, \text{kg}} \][/tex]
1. Convert ounces to pounds:
Given that there are 16 ounces in 1 pound, we divide the total number of ounces by 16 to get the weight in pounds.
[tex]\[
\text{Weight in pounds} = \frac{25,500 \text{ oz}}{16} = 1593.75 \text{ lbs}
\][/tex]
2. Convert pounds to kilograms:
Given that 1 pound is approximately 0.454 kilograms, we multiply the weight in pounds by 0.454 to get the weight in kilograms.
[tex]\[
\text{Weight in kilograms} = 1593.75 \text{ lbs} \times 0.454 \text{ kg/lb} = 723.5625 \text{ kg}
\][/tex]
Therefore, the weight of the rice in the crate is approximately [tex]\(723.5625 \, \text{kg}\)[/tex].
Looking at the provided choices:
- [tex]\(351 \, \text{kg}\)[/tex]
- [tex]\(724 \, \text{kg}\)[/tex]
- [tex]\(25,500 \, \text{kg}\)[/tex]
- [tex]\(185,000 \, \text{kg}\)[/tex]
The closest value to our calculated weight of [tex]\(723.5625 \, \text{kg}\)[/tex] is [tex]\(724 \, \text{kg}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{724 \, \text{kg}} \][/tex]
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