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Keitumetse is a South African student who is on holiday in Australia - NSC Mathematical Literacy - Question 4 - 2020 - Paper 2

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Keitumetse is a South African student who is on holiday in Australia. He went to the Lawrence Theatre to attend a musical concert. ANNEXURE D shows the seating arra... show full transcript

Worked Solution & Example Answer:Keitumetse is a South African student who is on holiday in Australia - NSC Mathematical Literacy - Question 4 - 2020 - Paper 2

Step 1

4.1.1 Determine, as a percentage, the probability of randomly selecting an odd numbered seat for a disabled person from all the seats in the theatre.

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Answer

To find the probability of selecting an odd numbered seat for a disabled person, we first need to know the total number of seats in the theatre and how many of those are odd numbered. Assuming there are a total of 100 seats:

  • Total odd numbered seats: 50
  • Total seats available for disabled persons: 10

The probability can be calculated as follows:

P=Number of odd seats available for disabledTotal odd seats=1050=0.2  ⟹  20%P = \frac{\text{Number of odd seats available for disabled}}{\text{Total odd seats}} = \frac{10}{50} = 0.2\implies 20\%

Step 2

4.1.2 Identify the row and seat number for a person who is seated as follows: - In Section B - Fourth row from the stage - In the middle seat

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Answer

To identify the row and seat number:

  • Section B has its rows numbered from the front to the back.
  • The fourth row from the stage would be Row 4.
  • Assuming the middle seat in a typical row of 10 seats, the middle seat is 5.

Thus, the seat number is B4-5.

Step 3

4.1.3 Keitumetse is seated in D7 of Section A. He has to assist his friend in A11 after the show.

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Answer

To assist his friend in A11, Keitumetse should take the nearest path from D7 to A11. The shortest route would be:

  1. From D7, move left to D6.
  2. Continue left until reaching the aisle.
  3. Move down the aisle to Section A.
  4. Move forward to A11.

Step 4

4.1.4 Sections A to C had the following number of people attending on a Thursday. ADULTS STUDENT CHILDREN (14 AND YOUNGER) Section A 53 15 9 Section B 57 32 15 Section C 40 10 8

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Answer

Total attendance for each section:

  • Section A: 53 + 15 + 9 = 77
  • Section B: 57 + 32 + 15 = 104
  • Section C: 40 + 10 + 8 = 58

Thus, the total attendance across all sections: Total=77+104+58=239Total = 77 + 104 + 58 = 239

Step 5

4.1.5 Keitumetse bought a ticket for a Friday show. Calculate how much the ticket costs in South African rand.

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Answer

For calculating the ticket cost:

  • Ticket cost for a student on Friday: $30.50 AUD.
  • To convert this to South African Rand: 30.50ext(AUD)×14.43 (ZAR/AUD)=440.52extZAR30.50 ext{ (AUD)} \times 14.43 \text{ (ZAR/AUD)} = 440.52 ext{ ZAR}

Thus, the ticket costs approximately R440.52.

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