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March 27, 2017

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a coffee shop mixed brazilian coffee worth $5 per kg with Turkish coffee worth $8 per kg. the mixture is to sell for $7 per kg. how much of each type of coffee should be used to make 300 kg of the mixture?

  • algebra - ,

    If there are x kg of Brazilian coffee, then there are (300-x)kg of Turkish coffee.

    Now, work with the cost for each type of nut. They must add up to the totals cost.

    5x + 8(300-x) = 7(300)
    5x + 2400 - 8x = 2100
    3x = 300
    x = 100

    So, you need 100kg of Brazilian and 200kg of Turkish.

    ote that $7 is 1/3 of the way from %5 to $8. So, the cheap coffee is 1/3 of the final mix.

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