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Keitumetse is a South African student who is on holiday in Australia - NSC Mathematical Literacy - Question 4 - 2020 - Paper 2
Question 4
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.
Answer
To determine the probability of selecting an odd numbered seat, we first need to find the total number of seats in the theatre. Assuming there are 'N' seats, the odd numbered seats would thus be 'N/2' (since half of them would be odd).
The probability (P) can be computed using the formula:
Substituting values, we write that probability as:
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
Answer
In Section B, if we consider the seating arrangement provided,
- The rows typically are numbered from the stage back. Thus, the fourth row from the stage would be Row 4.
- For the middle seat in the row, if there are, for example, 12 seats in Section B, the middle seat would be Seat 6 or 7, depending on how you define 'middle.' Therefore, the seat number would be either 6 or 7, assuming average conditions.
Step 3
4.1.3 Keitumetse is seated in D7 of Section A. He has to assist his friend in A11 after the show. Describe the shortest possible path he would follow to reach A11.
Answer
To reach A11 from D7:
- From D7, Keitumetse should walk to the nearest aisle in Section A.
- Then, he will move towards the front of the section until reaching Row A.
- Once he reaches Row A, he will turn left and walk to seat 11.
This path will ensure he takes the shortest route across the seating arrangement.
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 Verify, with calculations, whether this claim is CORRECT.
Answer
First, we compute the total attendance from the table given:
- Adults: 53 + 57 + 40 = 150
- Students: 15 + 32 + 10 = 57
- Children: 9 + 15 + 8 = 32
The total attendance is:
To verify the claim of $5,796 excluding VAT, we first need to ensure we understand ticket prices.
Assuming adults 30.50, and children $17.60, the total ticket income can be calculated as:
Which gives:
Factoring in a VAT of 10%, it is calculated as:
This claim is incorrect as it exceeds $5,796.
Step 5