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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 calculate the total distance traveled, we sum the distances from the trip:

58+279+45+455+232+303+280+49+498=1999extkm58 + 279 + 45 + 455 + 232 + 303 + 280 + 49 + 498 = 1999 ext{ km}

Thus, the couple travels 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 through the following routes:

  • Route N1 in South Africa
  • Route N4 in South Africa
  • Route A2 in Botswana
  • Route B6 in Namibia

These routes provide the pathways through which they journey.

Step 3

At Moremi Wildlife Reserve there are two accommodation options: Option 1: Self-catering chalets for 4 people at R 550 per chalet per night Option 2: A bed and breakfast at R550 per person per night. The couple stated that if they choose Option 1 and do not have breakfast at R95 per person, they will be able to save R270. Show, with the necessary calculations, whether their statement is true, or not.

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Answer

Calculating costs for both options:

Option 1:

  • Accommodation = R 550 per chalet
  • Total for 4 people = R 550

Option 2:

  • Bed and breakfast = R 550 per person
  • Total for 4 people = R 550 * 4 = R 2200

Calculating the difference:

extDifference=2200550=1650ext(Nottrue) ext{Difference} = 2200 - 550 = 1650 ext{ (Not true)}

Thus, they are actually saving 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

There are 5 self-catering units accommodating 4 people and 3 units accommodating 6 people. The probability of booking a unit at no extra cost is:

P(extselfcateringatnocost)=55+3=5862.5%P( ext{self-catering at no cost}) = \frac{5}{5+3} = \frac{5}{8}\approx62.5\%

Rounded to the nearest percentage is 63%.

Step 5

The two families are claiming that the difference between the distance travelled by the couple with the two adult children and the distance travelled by Mr and Mrs Smith, is 463 km. Verify, with the necessary calculations, whether the statement is valid.

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Answer

Calculating total distance travelled by the couple:

58+279+45+550+105+738=736extkm58 + 279 + 45 + 550 + 105 + 738 = 736 ext{ km}

Now calculating the difference:

extDistancedifference=21991736=463extkm ext{Distance difference} = 2199 - 1736 = 463 ext{ km}

Thus, the statement is valid.

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