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Math Help - [SOLVED] Mixing three brands of coffee to get a required cost/kg of the final mix

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    Lightbulb [SOLVED] Mixing three brands of coffee to get a required cost/kg of the final mix

    Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each brand does she have to mix to amke 50 kg of coffee costing her $7.20 per kg?
    Last edited by mr fantastic; October 17th 2009 at 09:41 PM. Reason: Changed post title
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    Quote Originally Posted by Tessarina View Post
    Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each brand does she have to mix to amke 50 kg of coffee costing her $7.20 per kg?
    Welcome to the Forum

    Let say she mixes xkg of coffeeA
    its cost = $6x
    So 50-x kg of coffee is mixed
    its cost = $(50-x)8

    Cost of 50 kg of coffee =50*7.2 =$360

    hence

    6x+(50-x)8 = 360

    6x-8x= 360-400
    2x=40
    x= 20kg = amount of coffee A
    50-x=30kg = amount of coffee B
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    Thanx a mill! u saved my butt!
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