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A tourist has R300 on their Gautrain card. They travel from O.R Tambo International Airport to Marlboro, then from Marlboro to Sandton. Calculate the costs for each leg of the journey and the remainin

Mathematics

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Step-by-step solution

4 steps
  1. Calculate the weekly cost for Sandton to Rhodesfield (Question 1.1).

    The fare from Sandton to Rhodesfield is R25.00.
    Since the same fare applies in the other direction, the fare from Rhodesfield to Sandton is also R25.00.

    • Cost for one return trip (daily): R25.00+R25.00=R50.00\text{R}25.00 + \text{R}25.00 = \text{R}50.00
    • Weekly cost (5 days): R50.00×5=R250.00\text{R}50.00 \times 5 = \text{R}250.00

    The weekly cost is R250.00\boxed{\text{R}250.00}.

  2. Calculate the cost for the tourist's first trip (Question 1.2.1).

    The tourist traveled from O.R Tambo International Airport to Marlboro.
    From the table, "Airport to: Sandton, Marlboro, Rhodesfield" costs R105.00.

    He paid R105.00\boxed{\text{R}105.00} for this service.

  3. Calculate the cost for the tourist's second trip (Question 1.2.2).

    The tourist needed to travel from Marlboro to Sandton.
    From the table, "Other routes: Sandton - Marlboro" costs R19.00.
    Since the same fare applies in the other direction, Marlboro to Sandton also costs R19.00.

    He was expected to pay R19.00\boxed{\text{R}19.00} for this service.

  4. Calculate the remaining money on the tourist's card (Question 1.2.3).

    • Initial card balance: R300.00
    • Cost of first trip (Airport to Marlboro): R105.00 (from 1.2.1)
    • Cost of second trip (Marlboro to Sandton): R19.00 (from 1.2.2)

    Total spent = R105.00+R19.00=R124.00\text{R}105.00 + \text{R}19.00 = \text{R}124.00
    Money left on card = Initial balance - Total spent
    Money left on card = R300.00−R124.00=R176.00\text{R}300.00 - \text{R}124.00 = \text{R}176.00

    There was R176.00\boxed{\text{R}176.00} left on his card.

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