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Thread: Mixture Problem equation issue

  1. #1
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    Mixture Problem equation issue

    There are 2 brands of fertilizers containing nitrogen and water. Gentle green is 5% nitrogen and sun saver is 15% nitrogen. We need to combine two types of solutions in order to make 100 litres of 12% nitrogen. How much of each brand should be used?

    0.05x + 0.15x = 0.05 + 0.15 ( 100 + 0.12 )

    Is that equation correct ?
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  2. #2
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    Re: Mixture Problem equation issue

    no

    $0.05 g + 0.15 s = 0.12(100) = 12$

    $g + s = 100$

    you can take it from there
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  3. #3
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    Re: Mixture Problem equation issue

    0.5g + 0.15s = 12 ( 100 )

    g + s =100 ( - 50 )

    50g + 15s = 1200
    -50g = 50s = -5000

    -35s = - 3800

    s = 108.571
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  4. #4
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    Re: Mixture Problem equation issue

    you got s = 108.571 > 100

    Quote Originally Posted by diehardmath4 View Post
    0.05g + 0.15s = 12 ( 100 )

    g + s =100 ( - 5 )
    try again ...
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  5. #5
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    Re: Mixture Problem equation issue

    0.05G + 0.15s = 0.12 ( 100 )

    G + S = 100 ( -5 )


    5g + 15s = 12
    -5g - 5s = -500

    10s = -488

    s = - 48.8
    Last edited by diehardmath4; Dec 9th 2017 at 11:09 AM. Reason: major typo
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    Re: Mixture Problem equation issue

    Quote Originally Posted by diehardmath4 View Post
    0.05G + 0.15s = 0.12 ( 100 )

    G + S = 100 ( -5 )


    5g + 15s = 12
    -5g - 5s = -500

    10s = -488

    s = - 48.8
    dude....

    $G+S=100$

    $G = 100-S$

    $0.05G + 0.15S = 12$

    $5G + 15S = 1200$

    $5(100-S) + 15S = 1200$

    $500- 5S+ 15S = 1200$

    $10S = 700$

    $S = 70$

    $G = 100-70=30$
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  7. #7
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    Re: Mixture Problem equation issue

    0.05g + 0.15s = 12 ( 100 )

    g + s =100 ( - 5 )
    5g + 15s = 1200

    -5g - 5s = -500

    10s = 700

    s = 70

    g = 30
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  8. #8
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    Re: Mixture Problem equation issue

    Quote Originally Posted by skeeter View Post
    5g + 15s = 1200

    -5g - 5s = -500

    10s = 700

    s = 70

    g = 30
    why did that -5 get in there?
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  9. #9
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    Re: Mixture Problem equation issue

    Quote Originally Posted by romsek View Post
    why did that -5 get in there?
    Multiplying the second equation to eliminate the g term ... the OP originally multiplied by (-50)
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