How would one convert 125 lb to kilograms (1 oz = 28 g)?
16 OZ 28 g
O A. 125 lbx x
1 lb 1 oz
B. 125 bx
28 g
1 oz
16 oz
C. 125 | Ý
1 lb
X
28 g 1 kg
X
1 oz 1000 g
28 g
D. 125 lb x
X
1 kg
1000 g
1 oz
The Correct Answer and Explanation is :
To convert 125 pounds (lb) to kilograms (kg), we can follow these steps:
- Understand the relationship between pounds and ounces:
- There are 16 ounces (oz) in 1 pound (lb).
- Understand the conversion from ounces to grams:
- We know that 1 ounce is equivalent to 28 grams (g).
- Convert pounds to ounces:
- First, convert 125 lb to ounces:
[
125 \text{ lb} \times 16 \text{ oz/lb} = 2000 \text{ oz}
]
- Convert ounces to grams:
- Now convert 2000 ounces to grams:
[
2000 \text{ oz} \times 28 \text{ g/oz} = 56000 \text{ g}
]
- Convert grams to kilograms:
- Finally, convert grams to kilograms, noting that 1 kilogram is equal to 1000 grams:
[
56000 \text{ g} \div 1000 \text{ g/kg} = 56 \text{ kg}
]
So, 125 lb is approximately 56 kg.
Explanation of the Options:
- Option A:
[
125 \text{ lb} \times 1 \text{ lb} \times \text{(not a complete conversion)}
]
This does not complete the conversion process correctly. - Option B:
[
125 \text{ lb} \times \frac{28 \text{ g}}{1 \text{ oz}} \text{(not properly set up)}
]
This misses the step of converting lb to oz first, making it incorrect. - Option C:
[
125 \times \frac{1 \text{ lb}}{28 \text{ g}} \times \frac{1 \text{ kg}}{1000 \text{ g}} \text{ (incorrect)}
]
The setup is wrong since it incorrectly places the units and doesn’t follow the correct conversion path. - Option D:
[
125 \text{ lb} \times \frac{1 \text{ kg}}{1000 \text{ g}} \times \frac{28 \text{ g}}{1 \text{ oz}} \text{(not valid)}
]
This option is also not correctly structured.
Correct Method:
The correct conversion method involves breaking down the units in a logical order and multiplying through the unit conversions. None of the options provided accurately reflect the correct calculations, as shown above, leading to 56 kg as the final result.