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31 July, 03:17

A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each

kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),

rounded up to the nearest kilometer.

Maira's last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee

is. She wants to know how far the journey was.

She has a previous bill from the same taxi company, for a different journey, for $21.80.

How far was her last journey?

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Answers (1)
  1. 31 July, 05:38
    0
    362 kilometre

    Step-by-step explanation:

    Let a be the total cost of a journey

    let b represent the total distance of a journey

    $1.75 is a fixed charge of a journey

    the additional charge is $0.10 for b distance, hence total of additional charge is $.10 multiplied by b i. e 0.1 b

    a=1.75+0.1b

    a = 37.90

    37.90=1.75+0.1b

    0.1b=37.90-1.75

    0.1 b=36.15

    b=36.15 / 0.10

    b=361.5

    b=362 kilometre

    For the journey that cost 21.80

    21.80=1.75+0.1 b

    0.1 b=21.80-1.75

    0.1 b=20.05

    b=20.05 / 0.1

    b=200.5

    b = 201 kilometre
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