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The learners at Wilo High school want to raise funds to buy equipment for cricket. They decided to bake cakes and have a cake sale at school. Study the recipe below, which was taken from internet, and answer the following questions that follow.

Mathematics

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Answers

6 parts
1.1

300 g

1.2

R51

1.3

207∘C207^\circ C

1.4

77.78%77.78\%

2.1

1 cup

2.2

250 g

Step-by-step solution

9 steps

Part 1.1· 2 steps

  1. Calculate the batter volume for the given recipe.

    Water =250= 250 ml
    1 cup sugar =250= 250 ml
    Oil =125= 125 ml
    Total volume =250+250+125=625= 250 + 250 + 125 = 625 ml

  2. Set up the proportion for flour.

    250 g flour625 ml batter=x g flour750 ml batter\frac{250 \text{ g flour}}{625 \text{ ml batter}} = \frac{x \text{ g flour}}{750 \text{ ml batter}} x=250×750625x = 250 \times \frac{750}{625} 750625=1.2\frac{750}{625} = 1.2 x=250×1.2=300x = 250 \times 1.2 = 300

    Rose uses 300 g flour.

    300 g

Part 1.2R51

  1. Calculate the number of 100 g units in 300 g flour.

    300 g100 g/unit=3 units\frac{300 \text{ g}}{100 \text{ g/unit}} = 3 \text{ units}

  2. Calculate the cost.

    Cost =3×R17=R51= 3 \times \text{R}17 = \text{R}51

    The cost is R51.

    R51

Part 1.3

207∘C207^\circ C

  1. Calculate the temperature increase.

    Increase =15%= 15\% of 180∘180^\circC

    0.15×180=27∘C0.15 \times 180 = 27^\circ\text{C}

  2. Calculate the new temperature.

    New temperature =180∘C+27∘C=207∘C= 180^\circ\text{C} + 27^\circ\text{C} = 207^\circ\text{C}

    The new temperature is 207∘207^\circC.

    207^\circ C

Part 1.4

77.78%77.78\%

(assuming recommended time of 45 min as per standard recipe instruction)

  1. Set up the percentage formula.

    Percentage=(35 min45 min)×100%\text{Percentage} = \left( \frac{35 \text{ min}}{45 \text{ min}} \right) \times 100\%

  2. Simplify the fraction.

    3545=79\frac{35}{45} = \frac{7}{9}

  3. Calculate the percentage.

    79×100=7009≈77.78%\frac{7}{9} \times 100 = \frac{700}{9} \approx 77.78\%

    (or exactly 7009%\frac{700}{9}\%)

    The cake was baked at 77.78% of the recommended time.

    77.78%

Part 2.11 cup

The recipe is for 1 large cake. Three small cakes together are equivalent to 1 large cake.
Total sugar used =1= 1 cup.

1 cup

1 cup

Part 2.2250 g

Similarly, total flour used for three small cakes =250= 250 g.

250 g

250 g

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