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Math Help - Help me please with an 11 + question for my daughter

  1. #1
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    Help me please with an 11 + question for my daughter

    Hi,

    I am hoping someone out there will help me on this basic question below which has to be solved by my 10 year old daughter for her 11+. If it is possible please show simple working out.

    Thanks

    Dee

    Question
    On a bus route
    The total cost of one ticket from G to J and one ticket from G to I is 1
    The total cost of one ticket from G to J and one ticket from H to J is 1.20
    The total cost of one ticket from G to J, one ticket from G to H, and one ticket
    from I to J, is 1.30.
    What is the cost of one ticket from G to J? _________

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  2. #2
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    Let's assume that a ticket from G to J costs the same regardless if it is a direct ticket or an additional stop (H or I).

    Then, if we buy all three combinations of tickets, we get:

    • 3 tickets from G to J
    • 1 ticket from G to H and 1 ticket from H to J
    • 1 ticket from G to I and 1 ticket from I to J


    So, what we actually get is:
    5 tickets from G to J for the price of
    1+1.20+1.30=3.50

    Hence one ticket from G to J costs
    0.70.
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  3. #3
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    Let's assume that a ticket from G to J costs the same regardless if it is a direct ticket or an additional stop (H or I).

    Then, if we buy all three combinations of tickets, we get:

    3 tickets from G to J
    1 ticket from G to H and 1 ticket from H to J
    1 ticket from G to I and 1 ticket from I to J

    So, what we actually get is:
    5 tickets from G to J for the price of 1+1.20+1.30=3.50

    Hence one ticket from G to J costs 0.70.
    This implicitly uses the assumption that the cost is additive, that is that c(GJ)=c(GH)+c(HJ) etc.
    Last edited by Constatine11; December 27th 2008 at 09:01 AM. Reason: all but statement of assumption in other post
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  4. #4
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    Thank you very much for the swift response.

    Brilliant

    Dee
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