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Work out the total cost for return airline tickets for 12 players and the coach based on the cheapest price.

Mathematics

ScanSolve AI Answer

Answer

Airlink\text{Airlink}

R32,474\text{R}32,474

Step-by-step solution

5 steps
  1. Compare the prices of all airlines, considering the need for checked baggage.

    The team will likely need checked baggage for their netball kits. We will calculate the effective price per ticket for each airline, including the cost of a checked bag if it's not already included.

    • FlySafair (FA111): R1,129 (ticket)+R210 (checked bag)=R1,339\text{R}1,129 \text{ (ticket)} + \text{R}210 \text{ (checked bag)} = \text{R}1,339
    • Airlink (4Z53): R1,249 (checked bag included)\text{R}1,249 \text{ (checked bag included)}
    • CemAir (5Z336): R1,249 (checked bag included)\text{R}1,249 \text{ (checked bag included)} - Note: Only 4 seats left at this price.
    • LIFT (GE125): R1,249 (ticket)+R110 (checked bag)=R1,359\text{R}1,249 \text{ (ticket)} + \text{R}110 \text{ (checked bag)} = \text{R}1,359
    • South African Airways (SA317): R1,900 (checked bag included)\text{R}1,900 \text{ (checked bag included)}
  2. Identify the cheapest airline.

    Comparing the effective prices:

    • FlySafair: R1,339
    • Airlink: R1,249
    • CemAir: R1,249
    • LIFT: R1,359
    • South African Airways: R1,900

    Both Airlink and CemAir offer the lowest price of R1,249 with checked baggage included. However, CemAir has a limitation of "only 4 seats left at this price," which makes it unsuitable for a team of 13 people. Therefore, Airlink is the cheapest viable option for the entire team.

    The cheapest airline is Airlink\boxed{\text{Airlink}}.


  3. Determine the number of people traveling and the cheapest one-way ticket price.

    The team consists of 12 players and 1 coach, totaling 12+1=1312 + 1 = 13 people.
    Based on the previous calculation, the cheapest one-way ticket price, including checked baggage, is R1,249\text{R}1,249 (from Airlink).

  4. Calculate the cost for a return ticket for one person.

    A return ticket means flying to Cape Town and back to Johannesburg.

    Cost per return ticket (1 person)=R1,249×2\text{Cost per return ticket (1 person)} = \text{R}1,249 \times 2 Cost per return ticket (1 person)=R2,498\text{Cost per return ticket (1 person)} = \text{R}2,498
  5. Calculate the total cost for return airline tickets for all 13 people.

    Multiply the cost of one return ticket by the total number of people.

    Total cost for return tickets=R2,498/person×13 people\text{Total cost for return tickets} = \text{R}2,498/\text{person} \times 13 \text{ people} Total cost for return tickets=R32,474\text{Total cost for return tickets} = \text{R}32,474

    The total cost for return airline tickets for 12 players and the coach is R32,474\boxed{\text{R}32,474}.

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