Question
There are 28.35 g in an ounce and 2.21 lb in a kilogram. Juanita converts 3 kilograms to ounces. Is her conversion correct? Explain.
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Answers
GPT-4o mini
To determine if Juanita's conversion from kilograms to ounces is correct, we first need to convert kilograms to pounds, and then convert pounds to ounces.
**Step 1: Convert kilograms to pounds.**
Using the conversion factor:
- 1 kilogram = 2.21 pounds
So for 3 kilograms:
\[
3 \text{ kg} \times 2.21 \text{ lb/kg} = 6.63 \text{ lb}
\]
**Step 2: Convert pounds to ounces.**
Using the conversion factor:
- 1 pound = 16 ounces
Now we convert 6.63 pounds to ounces:
\[
6.63 \text{ lb} \times 16 \text{ oz/lb} = 106.08 \text{ oz}
\]
Therefore, 3 kilograms is equal to 106.08 ounces.
If Juanita got a different answer, then her conversion is incorrect. However, if she also arrived at approximately 106.08 ounces, then her conversion is correct.
**Step 1: Convert kilograms to pounds.**
Using the conversion factor:
- 1 kilogram = 2.21 pounds
So for 3 kilograms:
\[
3 \text{ kg} \times 2.21 \text{ lb/kg} = 6.63 \text{ lb}
\]
**Step 2: Convert pounds to ounces.**
Using the conversion factor:
- 1 pound = 16 ounces
Now we convert 6.63 pounds to ounces:
\[
6.63 \text{ lb} \times 16 \text{ oz/lb} = 106.08 \text{ oz}
\]
Therefore, 3 kilograms is equal to 106.08 ounces.
If Juanita got a different answer, then her conversion is incorrect. However, if she also arrived at approximately 106.08 ounces, then her conversion is correct.