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Math Help - need help with mixture problems

  1. #1
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    need help with mixture problems

    Ground chuck sells for 1.45 per lb
    how many lbs of ground round selling for 2.45 per lb should be mixed with 20lbs of ground chuck to obtain a mixture that sells for 2.05 per lb?

    what would the formula be to get the answer? THANKS
    really need the help
    Last edited by msbulldog2012; November 4th 2008 at 06:39 PM.
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  2. #2
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    Hello, msbulldog2012!

    Ground chuck sells for $1.45 per lb.
    How many lbs of ground round selling for $2.45 per lb
    should be mixed with 20 lbs of ground chuck
    to obtain a mixture that sells for $2.05 per lb?

    Let x = lbs of ground round.

    We have 20 lbs of ground chuck at $1.45 per lb.
    . . It is worth: . 20 \times 1.45\:=\:29 dollars.

    We add x lbs of ground round at $2.45 per lb.
    . . It is worth: . 2.45x dollars.

    The mixture is worth: . 29 + 2.45x dollars. .[1]


    The final mixture is  20 + x lbs at $2.05 per lb.
    . . It is worth: . 2.05(20 + x) dollars. .[2]


    We just described the value of the final mixture in two ways!

    There is our equation! . . . . 29 + 2.45x \;=\;2.05(20+x)

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