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Yvette runs a small business from home - NSC Mathematical Literacy - Question 1 - 2022 - Paper 1
Question 1
Yvette runs a small business from home. She makes and sells lunch packs for learners and delivers them to school during their lunch break. TABLE 1 shows the items p... show full transcript
Worked Solution & Example Answer:Yvette runs a small business from home - NSC Mathematical Literacy - Question 1 - 2022 - Paper 1
Step 1
Show how the cost of ONE yoghurt was calculated.
Answer
The cost of one yoghurt can be calculated by dividing the total cost of a pack by the number of yoghurts in that pack:
Cost of ONE yoghurt = Total cost of yoghurt pack / Number of yoghurts in pack
Using the provided data:
Cost of 1 pack of yoghurt = R10,99 Number of yoghurts in pack = 6
Thus, the calculation is:
Cost of ONE yoghurt = R10,99 / 6 = R1,83.
Step 2
Step 3
Show that the total cost to make ONE lunch pack is R18,36.
Answer
To find the total cost of making one lunch pack, we need to sum up the individual costs of each item used in the lunch pack:
- Cost of 1 fruit juice = R5,63
- Cost of 2 slices of bread = R1,57
- Cost of 1 slice of cheese = R1,37
- Cost of 1 apple = R2,87
- Cost of 1 yoghurt = R1,83
- Cost of 3 sweets = R3,54
Total Cost = R5,63 + R1,57 + R1,37 + R2,87 + R1,83 + R3,54 = R18,36.
Step 4
The profit Yvette makes per lunch pack is R16,64.
Answer
Given that the profit per lunch pack is R16,64, we can use this information in determining the selling price. Profit is defined as the difference between the selling price (SP) and the cost price (CP):
Profit = Selling Price - Cost Price
Substituting the known values into the equation gives us:
R16,64 = SP - R18,36.
Rearranging the equation to find SP: SP = R16,64 + R18,36.
Thus, SP = R35,00.
Step 5
Step 6
Write down, as a simplified ratio, the bulk price of the 100% fruit juice to the bulk price of sweets.
Answer
The bulk price for the 100% fruit juice is R135,00 and for sweets, it is R85,00.
To write this as a simplified ratio:
Ratio = Bulk price of fruit juice : Bulk price of sweets = R135,00 : R85,00.
To simplify this ratio:
Divide both sides by R5:
27 : 17.
Thus, the simplified ratio is 27:17.