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Math Help - Help: how much can the population increase before its equal to

  1. #1
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    Jul 2011
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    Help: how much can the population increase before its equal to

    Hi,
    Please can someone be kind enough to help with this question. I would like to know how do you get the final answer as I am not getting the right one.

    Q)
    By approximately how much can the population of South and Central America increase before its Living Space footprint will be equal to Africa's?

    I have 5 options to choose a answer
    a) 1% b) 6% c) 11% d) 16% 21%

    Assuming For Africa
    population (million) = 900
    Food = 39%
    Fuel for Domestic Purposes = 5%
    Living Space = 7%
    Other Service = 6%
    Ecological Footprint per Person (000s m2) = 11
    Living Space = 7% == 900 * 0.07 = 63

    Assuming For South and Central America
    population (million) = 550
    Food = 39%
    Fuel for Domestic Purposes = 5%
    Living Space = 6%
    Other Service = 6%
    Ecological Footprint per Person (000s m2) = 11
    Living Space = 6% == 550 * 0.06 = 33

    Living Space for both countries are

    Africa
    Living Space = 7% == 900 * 0.07 = 63

    South and Central America == 6% == 550 * 0.06 = 33
    I am not sure how to find the answer to this.

    1st attempt
    I tried 900 - 550 = 350
    900 + 550 = 1450
    350 / 1450 * 100 = 24.13%

    2nd attempt
    550 / 900 *100 = 61%

    I can only think perhaps I need to do something with Living Space percentages for both Africa and South and Central America.

    3rd attempt
    100 - 6 (6% South and Central America from Living Space) = 94
    0.94 * 550 = 517
    550 + 517 = 1067

    To check I did
    1067 * 0.06 (Living Space) = 64.02

    Is 6% increase the correct answer? As Living Space for Africa is... == 900 * 0.07 = 63. So I am not sure if I have got the right answer? I am thinking, could approximately also mean roughly?

    Thank you in advance for your time and effort for helping me with this question.
    Last edited by tomb; November 14th 2011 at 12:25 PM. Reason: aaditional information
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