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The fundraising committee of St Mark's Anglican Church is planning a braai - NSC Mathematical Literacy - Question 4 - 2024 - Paper 1

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The fundraising committee of St Mark's Anglican Church is planning a braai. At the braai, plates of food will be sold in order to raise funds for a new generator. Ea... show full transcript

Worked Solution & Example Answer:The fundraising committee of St Mark's Anglican Church is planning a braai - NSC Mathematical Literacy - Question 4 - 2024 - Paper 1

Step 1

Calculate the total amount the fundraising committee paid for the meat products at the local butcher.

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Answer

First, calculate the total costs before the discount:

For chops:

  • Price per kg = R149,95
  • Total kg = 16,7 kg
  • Total price for chops = R149.95imes16.7=R2496.665R149.95 imes 16.7 = R2496.665.

For boerewors:

  • Price per kg = R99,99
  • Total kg = 13 kg
  • Total price for boerewors = R99.99imes13=R1299.87R99.99 imes 13 = R1299.87.

Now, add the total costs: R2496.665+R1299.87=R3796.535R2496.665 + R1299.87 = R3796.535.

The total before the discount is approximately R3796.54R3796.54. Now, apply the 15% discount:

  • Discount amount = 0.15imesR3796.535=R569.480250.15 imes R3796.535 = R569.48025.

Finally, subtract the discount from the total: R3796.54R569.48ext(rounded)=R3227.06R3796.54 - R569.48 ext{ (rounded)} = R3227.06.

Thus, the total amount paid for the meat products is approximately R3227.06.

Step 2

Calculate the cost price of ONE plate of food.

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Answer

To find the cost price for one plate of food, we must include the additional costs:

The total amount spent on other ingredients = R850.00.

Total cost for meat = R3227.06 from the previous calculation.

Add these costs: R3227.06+R850.00=R4077.06R3227.06 + R850.00 = R4077.06.

Now, divide by the total number of plates (200):

Cost per plate = R4077.06/200=R20.3853R4077.06 / 200 = R20.3853, which rounds to R20.39.

Step 3

Determine, rounded to the nearest TEN, the total number of plates of food they had to sell in order to buy the new generator.

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Answer

The shortfall to be covered is R2850.00.

First, calculate the profit made from one plate: R35R20.39(cost)=R14.61(profit)R35 - R20.39 (cost) = R14.61 (profit).

To find the number of plates needed to sell to cover the shortfall:

Number of plates needed = R2850.00/R14.61=195.43R2850.00 / R14.61 = 195.43.

Rounding to the nearest ten gives 200 plates.

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