To determine how many kilograms a crate contains if it holds 25,500 ounces of rice, we need to perform a two-step conversion:
1. Convert ounces to pounds.
2. Convert pounds to kilograms.
### Step-by-Step Solution
#### Step 1: Convert Ounces to Pounds
1 pound (lb) is equivalent to 16 ounces (oz). We use this relationship to convert the total weight in ounces to pounds.
Given:
[tex]\[ \text{Total weight in ounces} = 25,500 \text{ oz} \][/tex]
To convert ounces to pounds:
[tex]\[ \text{Weight in pounds} = \frac{\text{Total weight in ounces}}{\text{Number of ounces per pound}} \][/tex]
[tex]\[ \text{Weight in pounds} = \frac{25,500 \text{ oz}}{16 \text{ oz/lb}} \][/tex]
Perform the division:
[tex]\[ \text{Weight in pounds} = 1,593.75 \text{ lb} \][/tex]
#### Step 2: Convert Pounds to Kilograms
Next, we convert the weight from pounds (lb) to kilograms (kg). Knowing that 1 pound is approximately 0.454 kilograms, we use this conversion factor.
Given:
[tex]\[ \text{Weight in pounds} = 1,593.75 \text{ lb} \][/tex]
To convert pounds to kilograms:
[tex]\[ \text{Weight in kilograms} = \text{Weight in pounds} \times \text{Conversion factor from pounds to kilograms} \][/tex]
[tex]\[ \text{Weight in kilograms} = 1,593.75 \text{ lb} \times 0.454 \text{ kg/lb} \][/tex]
Perform the multiplication:
[tex]\[ \text{Weight in kilograms} = 723.5625 \text{ kg} \][/tex]
### Conclusion
The crate contains approximately:
[tex]\[ 723.5625 \text{ kg} \][/tex]
Thus, the closest listed option is:
[tex]\[ 724 \text{ kg} \][/tex]
Hence, the crate contains about 724 kilograms of rice.
