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Yvette runs a small business from home - NSC Mathematical Literacy - Question 1 - 2022 - Paper 1

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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

1.1.1 Show how the cost of ONE yoghurt was calculated.

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Answer

To find the cost of one yoghurt, we can divide the total cost of the pack by the number of yoghurts per pack.

Cost of one yoghurt = Total cost of pack / Number of yoghurts per pack

Cost of one yoghurt = R10,99 / 6 = R1,83

Step 2

1.1.2 Determine the maximum number of apples per bag.

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Answer

The cost for a bag of apples is R22,99. To find the maximum number of apples per bag, we consider the cost per apple:

Cost per apple = R2,87

Maximum number of apples per bag = Total bag cost / Cost per apple = R22,99 / R2,87 ≈ 8 apples

Step 3

1.1.3 Show that the total cost to make ONE lunch pack is R18,36.

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Answer

To calculate the total cost of one lunch pack, we sum the costs of all components included in the lunch pack:

Total cost = Cost of fruit juice + Cost of bread + Cost of cheese slices + Cost of apples + Cost of yoghurt + Cost of sweets + Cost of Fomo tray

Total cost = R5,63 + R4,75 + R1,57 + R2,87 + R1,83 + R3,54 + R1,37 = R18,36

Step 4

1.1.4 The profit Yvette makes per lunch pack is R16,64.

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Answer

Profit is calculated as the difference between Selling Price (SP) and Cost Price (CP). Thus:

Profit = SP - CP

Given that Profit = R16,64 and CP = R18,36, we can set up the equation:

R16,64 = SP - R18,36

Step 5

1.1.5 Calculate the selling price of ONE lunch pack.

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Answer

From the equation derived:

SP = Profit + CP

SP = R16,64 + R18,36 = R35,00

Step 6

1.1.6 Write down, as a simplified ratio, the bulk price of the 100% fruit juice to the bulk price of sweets.

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Answer

The bulk price of 100% fruit juice is R135,00 and the bulk price of sweets is R85,00.

Thus, the simplified ratio can be calculated as:

Ratio = Bulk price of fruit juice : Bulk price of sweets = R135 : R85

To simplify, we divide both sides by 5:

R27 : R17

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