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A recipe for 12 muffins requires 10 tablespoons of sugar and 2 cups of flour. Given that 1 tablespoon = 15 ml and 1 cup = 250 ml, convert these measurements to ml. If Maggie starts baking at 07H20 and

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4 parts
3.1

150 ml\text{150 ml}

3.2

1250 ml\text{1250 ml}

3.3

INVALID\text{INVALID}

3.4

INVALID\text{INVALID}

Step-by-step solution

15 steps

Here are the solutions to Question 3:

Part 3.1· 3 steps

Convert sugar to ml.

  1. Identify the amount of sugar needed for 12 muffins from Table 3.

    Sugar for 12 muffins=10 tablespoons\text{Sugar for 12 muffins} = 10 \text{ tablespoons}

  2. Use the conversion factor provided in the notes.

    1 tablespoon=15 ml1 \text{ tablespoon} = 15 \text{ ml}

  3. Calculate the total volume of sugar in ml.

    Total sugar in ml=10 tablespoons×15 ml/tablespoon=150 ml\text{Total sugar in ml} = 10 \text{ tablespoons} \times 15 \text{ ml/tablespoon} = 150 \text{ ml}

    The sugar needed is 150 ml\boxed{\text{150 ml}}.

Part 3.2

1250 ml\text{1250 ml}

Determine the flour needed to bake 30 muffins in ml.

  1. Identify the amount of flour needed for 12 muffins from Table 3.

    Flour for 12 muffins=2 cups\text{Flour for 12 muffins} = 2 \text{ cups}

  2. Convert the flour from cups to ml using the conversion factor.

    1 cup=250 ml1 \text{ cup} = 250 \text{ ml} Flour for 12 muffins in ml=2 cups×250 ml/cup=500 ml\text{Flour for 12 muffins in ml} = 2 \text{ cups} \times 250 \text{ ml/cup} = 500 \text{ ml}

  3. Determine the scaling factor for 30 muffins compared to 12 muffins.

    Scaling factor=30 muffins12 muffins=2.5\text{Scaling factor} = \frac{30 \text{ muffins}}{12 \text{ muffins}} = 2.5

  4. Calculate the total flour needed for 30 muffins in ml.

    Flour for 30 muffins=500 ml×2.5=1250 ml\text{Flour for 30 muffins} = 500 \text{ ml} \times 2.5 = 1250 \text{ ml}

    The flour needed to bake 30 muffins is 1250 ml\boxed{\text{1250 ml}}.

Part 3.3

INVALID\text{INVALID}

Maggie's grandmother says if Maggie starts baking at 07H20 she will be finished before 8H45. Verify whether the statement is valid.

  1. Identify the baking time for 12 muffins.

    Baking time=1 hour 30 minutes\text{Baking time} = 1 \text{ hour } 30 \text{ minutes}

  2. Add the baking time to the start time (07H20).

    Start time=07H20\text{Start time} = 07\text{H}20 Add 1 hour:07H20+1 hour=08H20\text{Add 1 hour:} \quad 07\text{H}20 + 1\text{ hour} = 08\text{H}20 Add 30 minutes:08H20+30 minutes=08H50\text{Add 30 minutes:} \quad 08\text{H}20 + 30\text{ minutes} = 08\text{H}50

  3. Compare the calculated finish time with the stated finish time (before 08H45).

    Calculated finish time=08H50\text{Calculated finish time} = 08\text{H}50 08H50 is not before 08H4508\text{H}50 \text{ is not before } 08\text{H}45

    The statement is INVALID\boxed{\text{INVALID}}.

Part 3.4

INVALID\text{INVALID}

Maggie bought 500ml of milk for baking. She claims that it will be enough if she decides to bake 36 muffins for the family. Verify, with calculations, whether the statement is VALID.

  1. Identify the amount of milk needed for 12 muffins from Table 3.

    Milk for 12 muffins=112 cups=1.5 cups\text{Milk for 12 muffins} = 1\frac{1}{2} \text{ cups} = 1.5 \text{ cups}

  2. Convert the milk from cups to ml using the conversion factor.

    1 cup=250 ml1 \text{ cup} = 250 \text{ ml} Milk for 12 muffins in ml=1.5 cups×250 ml/cup=375 ml\text{Milk for 12 muffins in ml} = 1.5 \text{ cups} \times 250 \text{ ml/cup} = 375 \text{ ml}

  3. Determine the scaling factor for 36 muffins compared to 12 muffins.

    Scaling factor=36 muffins12 muffins=3\text{Scaling factor} = \frac{36 \text{ muffins}}{12 \text{ muffins}} = 3

  4. Calculate the total milk needed for 36 muffins in ml.

    Milk for 36 muffins=375 ml×3=1125 ml\text{Milk for 36 muffins} = 375 \text{ ml} \times 3 = 1125 \text{ ml}

  5. Compare the required milk with the amount Maggie bought (500 ml).

    Required milk=1125 ml\text{Required milk} = 1125 \text{ ml} Milk bought=500 ml\text{Milk bought} = 500 \text{ ml}

    Since 1125 ml>500 ml1125 \text{ ml} > 500 \text{ ml}, the milk bought is not enough.
    The statement is INVALID\boxed{\text{INVALID}}.

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