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Seven airline passengers in economy class on the same flight paid an average of \(\$ 361\) per ticket. Because the tickets were purchased at different times and from different sources, the prices varied. The first five passengers paid \(\$ 420, \$ 210, \$ 333, \$ 695\), and \(\$ 485\). The sixth and seventh tickets were purchased by a couple who paid identical fares. What price did each of them pay?

Short Answer

Expert verified
Each of the sixth and seventh passengers paid \$192.

Step by step solution

01

Calculate the total sum of the airfares

The total sum for all seven passengers is the mean (average fare) multiplied by the number of values (passengers), that is, \(361 \times 7 = 2527\).
02

Find the sum of the fares of the first five passengers

The sum of the fares paid by the first five passengers is \(\$ 420 + \$ 210 + \$ 333 + \$ 695 + \$ 485 = \$ 2143\).
03

Calculate the fare paid by the sixth and seventh passengers

Subtract the fare amount of the first five passengers from the total fare amount and then divide by 2. The calculation is \((\$2527 - \$2143) / 2 = \$192\). Hence, each of the sixth and seventh passengers paid \$192.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Airfare Average
In the world of air travel, understanding the concept of an average airfare is an essential skill, particularly when managing budgets. The term "airfare average" refers to the mean price passengers pay for their seats. It encompasses all variations of fares paid by different travelers on the same flight. To calculate the average airfare, you first need the total fare paid by all passengers. This is found by multiplying the average fare by the total number of passengers. For instance, if the average cost is $361, and there are 7 passengers, the total sum for fares would be \(361 \times 7 = 2527\). By understanding the concept of airfare average, you are better equipped to analyze travel expenses. This aids in predicting potential costs and budgeting effectively for future travels.
Economy Class Fares
Economy class fares are the cost of airfare for passengers traveling in the more basic travel class, often characterized by less seating space and fewer perks. These fares can vary significantly based on factors such as the time of booking, the airline's pricing strategy, and the source from which tickets are purchased. For example, on a given flight, one passenger might pay $420 while another pays $210 despite both being in economy class. Such variation happens due to sales promotions, advance booking discounts, or last-minute price surges. When purchasing economy tickets, consider buying early and comparing prices from different outlets. These strategies can help ensure you find the best deals available, reflecting the varied and dynamic nature of economy class fares.
Passenger Ticket Variation
Passenger ticket variation refers to the differences in airfare that passengers on the same flight might pay. This variation is influenced by several factors, primarily the timing of the purchase and the platform used to buy the ticket.In the provided exercise, the seven passengers had differing costs despite being in economy class. Five passengers had already paid a cumulative sum of \(\\(2143\), leaving remaining passengers to account for the remainder of the total \(\\)2527\), thus \((\\(2527 - \\)2143) / 2 = \$192\) per ticket.Understanding these variations is crucial for both airlines and consumers. Airlines can adjust prices to fill seats, while passengers can time their purchases to secure better deals. Keeping an eye on these fluctuations can lead to significant savings, tapping into the ever-evolving landscape of air travel pricing.

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Most popular questions from this chapter

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