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  1. #1
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    Smile algebra help

    a coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to be mixed to create 100 lbs of a mixture that will sell for 11.25 per pound. how much of each type of bean should be used in the mixture?
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  2. #2
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    Quote Originally Posted by lizard4 View Post
    a coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to be mixed to create 100 lbs of a mixture that will sell for 11.25 per pound. how much of each type of bean should be used in the mixture?
    Hello,

    let x be the amount of coffee which costs $9 per lbs
    then you have (100-x) lbs of coffee which costs $12

    Compare the prices:

    9x + (100-x)*12 = 100 * 11.25

    9x + 1200 - 12x = 1125

    -3x = -75

    x = 25

    Terefore you have to use 25 lbs of coffee 9 $/lbs
    and 75 lbs of coffee 12 $/lbs.
    Last edited by earboth; June 20th 2007 at 11:09 AM.
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