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The seating plan below represents the seating arrangement in a coach of a train - NSC Mathematical Literacy - Question 4 - 2019 - Paper 1

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The seating plan below represents the seating arrangement in a coach of a train. Use the information above to answer the questions that follow. 4.1.1 How many pass... show full transcript

Worked Solution & Example Answer:The seating plan below represents the seating arrangement in a coach of a train - NSC Mathematical Literacy - Question 4 - 2019 - Paper 1

Step 1

How many passengers can be seated in ONE coach?

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Answer

There are 60 seats available in the coach as indicated in the seating arrangement.

Step 2

Write down the number of the seat close to the window and the toilet.

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Answer

The seat closest to the window is A1 and the seat closest to the toilet is K6.

Step 3

In which general direction is the toilet from seat B6?

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Answer

The toilet is located in the back of the coach, which is the south-east direction from seat B6.

Step 4

Determine the probability (as a percentage) of randomly selecting a seat with a power point in this coach.

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Answer

To determine the probability:

  • Count the number of seats with power points. In the seating arrangement, there are 9 seats with power points.
  • Calculate total seats: 60.
  • The probability (P) is given by:

P=960×100=15%P = \frac{9}{60} \times 100 = 15\%

Therefore, the probability of randomly selecting a seat with a power point is 15%.

Step 5

Write down his new seat number.

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Answer

Following the given route:

  1. From J2, turning left leads to seats on the aisle, reaching seat J1.
  2. Continuing straight to the front of the coach takes him to seat A1.
  3. Turning right at the middle section leads him to seat A5.

Thus, his new seat number is A5.

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