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Math Help - 2 step equation word problem

  1. #1
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    2 step equation word problem

    Hi, having problems helping daughter with this one.

    Populations Georgia's Native-American population is 10,000 greater than Mississippi's. Mississippi's Native American population is 106,000 less than Texas'. If the total population of all three is 149,000, find each state's Native-American population.
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  2. #2
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    Quote Originally Posted by makingthegrade View Post
    Hi, having problems helping daughter with this one.

    Populations Georgia's Native-American population is 10,000 greater than Mississippi's. Mississippi's Native American population is 106,000 less than Texas'. If the total population of all three is 149,000, find each state's Native-American population.
    Ok, so we start off with all 3 equaling 149,000.
    so, x+y+z=149,000.
    Let x =Georgia
    So, x=y+10,000 where y =Mississippi
    y=z-106,000 where z = Texas
    x=z-96000
    Now plug into original equation and solve for z
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  3. #3
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    z-96000+z-106000+z=149000
    3z-202,000=149,000
    3z=351,000
    z=117,000
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  4. #4
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    Now plug in this value to the y equation.
    y=117000-106000
    Once you get y, just plug into x equation.
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  5. #5
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    So, Texas should be 117,000
    Missippi =11,000
    Georgia =21,000
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  6. #6
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    Thanks a bunch. Took me a while but I finally got it thanks to your help.
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