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Calculate the total amount of plain flour needed in kilograms to make 300 muffins, given that one recipe makes 12 muffins, requires 3/2 cups of flour, and 1 cup is 250 ml. Use a flour density of 0.57

Mathematics

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3.1.4
The baking time for a dozen muffins is not provided in the given information or the previous context. Therefore, it is not possible to calculate the actual baking time.

3.1.5
The baking temperature in Degrees Fahrenheit (°F) is not provided in the given information. Therefore, it is not possible to convert it to Degrees Celsius (°C).

3.1.6

  1. Determine the number of recipes needed for 300 muffins.

    One recipe makes 12 muffins.

    Number of recipes=300 muffins12 muffins/recipe=25 recipes\text{Number of recipes} = \frac{300 \text{ muffins}}{12 \text{ muffins/recipe}} = 25 \text{ recipes}
  2. Calculate the total plain flour needed in cups.

    From previous context, one recipe requires 32\frac{3}{2} cups of plain flour.

    Total flour in cups=25 recipes×32 cups/recipe\text{Total flour in cups} = 25 \text{ recipes} \times \frac{3}{2} \text{ cups/recipe} Total flour in cups=752 cups=37.5 cups\text{Total flour in cups} = \frac{75}{2} \text{ cups} = 37.5 \text{ cups}
  3. Convert the total flour from cups to milliliters.

    From previous context, 1 cup=250 ml1 \text{ cup} = 250 \text{ ml}.

    Total flour in ml=37.5 cups×250 ml/cup\text{Total flour in ml} = 37.5 \text{ cups} \times 250 \text{ ml/cup} Total flour in ml=9375 ml\text{Total flour in ml} = 9375 \text{ ml}
  4. Convert the total flour from milliliters to kilograms.

    We use the approximate density of plain flour, which is 0.57 g/ml0.57 \text{ g/ml}.
    First, convert to grams:

    Total flour in grams=9375 ml×0.57 g/ml\text{Total flour in grams} = 9375 \text{ ml} \times 0.57 \text{ g/ml} Total flour in grams=5343.75 g\text{Total flour in grams} = 5343.75 \text{ g}

    Now, convert to kilograms:

    Total flour in kg=5343.75 g1000 g/kg\text{Total flour in kg} = \frac{5343.75 \text{ g}}{1000 \text{ g/kg}} Total flour in kg=5.34375 kg\text{Total flour in kg} = 5.34375 \text{ kg}
  5. Verify Mrs Wulu's claim.

    Mrs Wulu claims that 10 kg10 \text{ kg} of plain flour will be enough.
    We calculated that 5.34375 kg5.34375 \text{ kg} of plain flour is needed.
    Since 5.34375 kg<10 kg5.34375 \text{ kg} < 10 \text{ kg}, her claim is VALID.

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