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Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 2 - 2017 - Paper 1

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Use TABLE 3 above to answer the questions that follow. TABLE 3: BUS FARE IN RAND FOR A SINGLE TRIP | Port Elizabeth | Grahamstown | King William's Town | Queenstow... show full transcript

Worked Solution & Example Answer:Use TABLE 3 above to answer the questions that follow - NSC Mathematical Literacy - Question 2 - 2017 - Paper 1

Step 1

Write down the SECOND highest bus fare for a single trip between two cities.

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Answer

The second highest bus fare listed in TABLE 3 is R410, which is the fare between Aliwal North and Bloemfontein.

Step 2

Between which two cities is the single bus fare of R350.00?

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Answer

The single bus fare of R350.00 is between Grahamstown and King William's Town.

Step 3

(a) Calculate the cost from Port Elizabeth to City X.

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Answer

Let the cost from Port Elizabeth to City X be denoted as xx. Based on the total fare of R755:

x+435=755x + 435 = 755

Solving for xx:

x=755435=320x = 755 - 435 = 320

Thus, the cost from Port Elizabeth to City X is R320.

Step 4

(b) Hence, identify City X.

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Answer

City X is Grahamstown, as the fare from Port Elizabeth to Grahamstown is R320.

Step 5

Determine the cost, excluding 14% VAT, of a single bus fare of R365.00.

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Answer

To find the cost excluding VAT, let yy be the price without VAT:

y+0.14y=365y + 0.14y = 365

This implies:

1.14y=3651.14y = 365

Therefore:

y=3651.14R320.18y = \frac{365}{1.14} \approx R320.18

The cost excluding VAT is approximately R320.18.

Step 6

Calculate her total traveling cost for ONE year.

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Answer

Lindiwe travels from Queenstown to Bloemfontein and back once a month. The total round trip fare is:

395+435=830395 + 435 = 830

Thus, her annual traveling cost is:

830×12=R9960830 \times 12 = R9960

Lindiwe's total traveling cost for ONE year is R9960.

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