Solve the following problems involving muffins: 3.1.1 Calculate the total number of blueberry muffins in 5…

Question

Solve the following problems involving muffins: 3.1.1 Calculate the total number of blueberry muffins in 5 dozens. 3.1.2 Calculate the amount of plain flour needed for 6 dozens if a recipe for 12 muff

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Here are the solutions to the questions:

3.1.1

Determine the number of muffins in one dozen.
One dozen is equal to 12 items.
Calculate the total number of muffins in 5 dozens.
$\text{Total muffins} = 5 \text{ dozens} \times 12 \text{ muffins/dozen}$ $\text{Total muffins} = 60 \text{ muffins}$
The total number of blueberry muffins in 5 dozens is $\boxed{\text{60 muffins}}$ .

3.1.2
Determine the total number of muffins needed.
We need to make 6 dozens of muffins.
$\text{Muffins needed} = 6 \text{ dozens} \times 12 \text{ muffins/dozen}$ $\text{Muffins needed} = 72 \text{ muffins}$
Identify the amount of plain flour per recipe.
The recipe serves 12 muffins and requires $\frac{3}{2}$ cups of plain flour.
Calculate how many times the recipe needs to be scaled up.
$\text{Scaling factor} = \frac{\text{Muffins needed}}{\text{Muffins per recipe}} = \frac{72 \text{ muffins}}{12 \text{ muffins}} = 6$
Calculate the total cups of plain flour needed.
$\text{Total plain flour} = \text{Scaling factor} \times \text{Plain flour per recipe}$ $\text{Total plain flour} = 6 \times \frac{3}{2} \text{ cups}$ $\text{Total plain flour} = 3 \times 3 \text{ cups}$ $\text{Total plain flour} = 9 \text{ cups}$
9 cups of plain flour will be needed.

3.1.3
Take the answer from 3.1.2, which is 9 cups.
Use the conversion factor from the table
$1 \text{ Cup} = 250 \text{ ml}$ .
Convert the total cups of plain flour to milliliters.
$\text{Total plain flour in ml} = 9 \text{ cups} \times 250 \text{ ml/cup}$ $\text{Total plain flour in ml} = 2250 \text{ ml}$
The answer in 3.1.2 converted to ml is $\boxed{\text{2250 ml}}$ .

Solve the following problems involving muffins: 3.1.1 Calculate the total number of blueberry muffins in 5 dozens. 3.1.2 Calculate the amount of plain flour needed for 6 dozens if a recipe for 12 muff

Step-by-step solution

Determine the number of muffins in one dozen.

Calculate the total number of muffins in 5 dozens.

Determine the total number of muffins needed.

Identify the amount of plain flour per recipe.

Calculate how many times the recipe needs to be scaled up.

Calculate the total cups of plain flour needed.

Take the answer from 3.1.2, which is 9 cups.

Use the conversion factor from the table

Convert the total cups of plain flour to milliliters.

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