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Answer :
Certainly! Here is a step-by-step solution to find out how many kilograms are in a crate containing 25,500 ounces of rice.
1. Understand the given information and conversions:
- The crate contains 25,500 ounces of rice.
- Conversion factors provided are:
- [tex]\(1 \, \text{lb} = 16 \, \text{oz}\)[/tex]
- [tex]\(1 \, \text{lb} = 0.454 \, \text{kg}\)[/tex]
2. Convert the ounces to pounds:
- First, convert ounces to pounds. Since 1 pound is equal to 16 ounces, use the conversion factor:
[tex]\[
\text{pounds} = \frac{\text{ounces}}{16}
\][/tex]
- Substitute the given ounces into the equation:
[tex]\[
\text{pounds} = \frac{25,500 \, \text{oz}}{16}
\][/tex]
- Calculate the number of pounds:
[tex]\[
\text{pounds} = 1,593.75 \, \text{lb}
\][/tex]
3. Convert the pounds to kilograms:
- Next, convert pounds to kilograms using the conversion factor [tex]\(1 \, \text{lb} = 0.454 \, \text{kg}\)[/tex]:
[tex]\[
\text{kilograms} = \text{pounds} \times 0.454
\][/tex]
- Substitute the calculated pounds into the equation:
[tex]\[
\text{kilograms} = 1,593.75 \times 0.454
\][/tex]
- Calculate the number of kilograms:
[tex]\[
\text{kilograms} = 723.5625 \, \text{kg}
\][/tex]
4. Round and match the result:
- When checking the options provided, the closest rounded value to 723.5625 kg is 724 kg.
Thus, the crate contains approximately 724 kilograms of rice.
1. Understand the given information and conversions:
- The crate contains 25,500 ounces of rice.
- Conversion factors provided are:
- [tex]\(1 \, \text{lb} = 16 \, \text{oz}\)[/tex]
- [tex]\(1 \, \text{lb} = 0.454 \, \text{kg}\)[/tex]
2. Convert the ounces to pounds:
- First, convert ounces to pounds. Since 1 pound is equal to 16 ounces, use the conversion factor:
[tex]\[
\text{pounds} = \frac{\text{ounces}}{16}
\][/tex]
- Substitute the given ounces into the equation:
[tex]\[
\text{pounds} = \frac{25,500 \, \text{oz}}{16}
\][/tex]
- Calculate the number of pounds:
[tex]\[
\text{pounds} = 1,593.75 \, \text{lb}
\][/tex]
3. Convert the pounds to kilograms:
- Next, convert pounds to kilograms using the conversion factor [tex]\(1 \, \text{lb} = 0.454 \, \text{kg}\)[/tex]:
[tex]\[
\text{kilograms} = \text{pounds} \times 0.454
\][/tex]
- Substitute the calculated pounds into the equation:
[tex]\[
\text{kilograms} = 1,593.75 \times 0.454
\][/tex]
- Calculate the number of kilograms:
[tex]\[
\text{kilograms} = 723.5625 \, \text{kg}
\][/tex]
4. Round and match the result:
- When checking the options provided, the closest rounded value to 723.5625 kg is 724 kg.
Thus, the crate contains approximately 724 kilograms of rice.
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