To determine how many ounces of flour are needed when a recipe calls for 0.800 kg of flour, you can follow these steps:
1. Convert the mass of flour from kilograms to pounds:
We know that 1 pound (lb) is equivalent to 0.454 kilograms (kg). To convert kilograms to pounds, divide the mass in kilograms by 0.454 kg/lb.
[tex]\[
\text{Mass in pounds (lb)} = \frac{\text{Mass in kilograms (kg)}}{0.454}
\][/tex]
Given that the mass of flour is 0.800 kg, the conversion is:
[tex]\[
\text{Mass in pounds (lb)} = \frac{0.800 \, \text{kg}}{0.454 \, \text{kg/lb}} \approx 1.762 \, \text{lb}
\][/tex]
2. Convert the mass of flour from pounds to ounces:
We know that 1 pound (lb) is equivalent to 16 ounces (oz). To convert pounds to ounces, multiply the mass in pounds by 16 oz/lb.
[tex]\[
\text{Mass in ounces (oz)} = \text{Mass in pounds (lb)} \times 16
\][/tex]
Substituting the mass in pounds we just calculated:
[tex]\[
\text{Mass in ounces (oz)} = 1.762 \, \text{lb} \times 16 \, \text{oz/lb} \approx 28.19 \, \text{oz}
\][/tex]
Thus, the recipe needs approximately 28.19 ounces of flour. Among the choices given, the closest to this value is:
28.2 oz
