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ANNEXURE D shows a strip chart from Pretoria to Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

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ANNEXURE D shows a strip chart from Pretoria to Windhoek. A couple with two adult children (both females), from Johannesburg, plan a holiday and decide to go to Win... show full transcript

Worked Solution & Example Answer:ANNEXURE D shows a strip chart from Pretoria to Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2

Step 1

How many kilometres do they travel to Windhoek?

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Answer

To find the total distance traveled to Windhoek, calculate the following:

  1. From Pretoria to Johannesburg: 58 km
  2. From Johannesburg to Lobatse: 279 km
  3. From Lobatse to Maun: 455 km
  4. From Maun to Moremi Wildlife Reserve: 232 km
  5. From Moremi Wildlife Reserve to Ghanzi: 280 km
  6. From Ghanzi to Windhoek: 498 km

Adding these distances together gives:

58+279+455+232+280+498=199958 + 279 + 455 + 232 + 280 + 498 = 1999 km

Thus, they travel a total of 1999 km to Windhoek.

Step 2

Apart from route A1, which other routes do they travel on from Johannesburg? Also, give the names of the countries where these routes are found.

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Answer

The couple travels on the following routes apart from A1:

  • Route A2: Botswana
  • Route N4: South Africa
  • Route N3: South Africa
  • Route B6: Namibia

Step 3

At Moremi Wildlife Reserve there are two accommodation options:

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  1. Option 1:

    • Accommodation cost: R 550 per night for 4 people
    • Total accommodation cost for 4 nights: R 2200
    • Total breakfast cost for 4: R 95 * 4 = R 380
    • Total amount spent: R 550 + R 380 = R 1930
  2. Option 2:

    • Accommodation cost: R 550 per person for 4 people: R 2200

So, the couple stated they would save R 270, which is incorrect since the difference is R 270.

Step 4

If all self-catering units are still available when they are making their booking, determine the probability of getting a self-catering unit at no extra cost.

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Answer

To find the probability of getting a self-catering unit:

  • Total self-catering units: 5 accommodating 4 people + 3 accommodating 6 people = 8 units
  • Probability of getting a self-catering unit:
    P=58=62.5P = \frac{5}{8} = 62.5\\%
  • Rounded to the nearest percentage: 63%.

Step 5

Verify the distance travelled claim.

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Answer

Distances calculated:
For the couple:

  • Total distance: 58 + 279 + 455 + 232 + 280 + 498 = 1999 km
    For Mr. and Mrs. Smith:
  • Distance traveled: 58 + 484 + 110 + 105 + 738 = 136 km
    Calculating the difference:
    extDifference=19991536=463ext{Difference} = 1999 - 1536 = 463 km
    This proves that the claim is valid.

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