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Pablo, a Mexican student, is studying in the United Kingdom (UK) - NSC Mathematical Literacy - Question 3 - 2016 - Paper 2
Question 3
Pablo, a Mexican student, is studying in the United Kingdom (UK). He plans to meet his family in Las Vegas, USA, to attend a boxing match. He will travel by air from... show full transcript
Worked Solution & Example Answer:Pablo, a Mexican student, is studying in the United Kingdom (UK) - NSC Mathematical Literacy - Question 3 - 2016 - Paper 2
Step 1
Step 2
3.1.2 Determine the simplified ratio of the number of Business Class seats to Economy Class seats.
Answer
The number of Business Class seats is 26 and the number of Economy Class seats is 80. The simplified ratio can be calculated as follows:
Ratio = Business Class seats : Economy Class seats = 26 : 80
To simplify, divide both sides by 2:
Thus, the simplified ratio of Business Class seats to Economy Class seats is 13:40.
Step 3
3.1.3 Give a detailed description of the route a passenger in seat 2K will take.
Answer
To reach seat 38B from seat 2K, the passenger should follow these steps:
- From seat 2K, stand up and turn left towards the aisle.
- Walk down the aisle to the galley/kitchen area.
- Turn right and walk to the next aisle/passage.
- Walk straight down this aisle until reaching row 38.
- Seat 38B will be located on the right-hand side.
Step 4
3.1.4 Determine the number of Business Class passengers.
Answer
Assuming the total number of Business Class seats is known, one can count the number of occupied seats. For this scenario, if 26 seats are available and all are occupied, then the total number of Business Class passengers is 26.
Step 5
3.1.5 Determine the probability (as a percentage) that this passenger did not have an aisle seat.
Answer
To calculate the probability of a Business Class passenger not having an aisle seat:
- Identify the total number of Business Class seats.
- If 5 out of 26 seats are aisle seats, then Number of non-aisle seats = Total seats - Aisle seats = 26 - 5 = 21.
- Probability = (Number of non-aisle seats / Total Business Class seats) x 100 = (21 / 26) x 100 ≈ 80.77%. Therefore, the probability that the passenger did not have an aisle seat is approximately 80.77%.