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 of 3 kilograms to ounces is correct, let's first break down the conversion process step by step.
1. **Convert kilograms to pounds:**
Since there are 2.21 pounds in a kilogram, we first convert 3 kilograms to pounds:
\[
3 \text{ kg} \times 2.21 \text{ lb/kg} = 6.63 \text{ lb}
\]
2. **Convert pounds to ounces:**
There are 16 ounces in a pound, so we convert the 6.63 pounds to ounces:
\[
6.63 \text{ lb} \times 16 \text{ oz/lb} = 106.08 \text{ oz}
\]
Therefore, 3 kilograms is equal to approximately 106.08 ounces.
If Juanita provided a different answer, we can conclude that her conversion is incorrect. If she provided the calculated value (106.08 ounces), then her conversion is indeed correct.
1. **Convert kilograms to pounds:**
Since there are 2.21 pounds in a kilogram, we first convert 3 kilograms to pounds:
\[
3 \text{ kg} \times 2.21 \text{ lb/kg} = 6.63 \text{ lb}
\]
2. **Convert pounds to ounces:**
There are 16 ounces in a pound, so we convert the 6.63 pounds to ounces:
\[
6.63 \text{ lb} \times 16 \text{ oz/lb} = 106.08 \text{ oz}
\]
Therefore, 3 kilograms is equal to approximately 106.08 ounces.
If Juanita provided a different answer, we can conclude that her conversion is incorrect. If she provided the calculated value (106.08 ounces), then her conversion is indeed correct.