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college algebra

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store mixes a Brazilian coffee worth worth $10 per kilogram and a turkish coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find out how much of each should be used to make a 420-kilogram mixture.

my calculations all came out super wrong

  • college algebra -

    If there are x kg of Brazilian coffee, then the rest (420-x) is Turkish. So,

    10x + 13(420-x) = 12*420
    x = 140

    Note that 140 is 1/3 of 420, meaning that it drags the price down 1/3 of the way from 13 to 10, or $12.

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