SOLUTION: the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per pound for sumatran coffee. How much of each type should be used to make a 20-lb blend that sell

Question 344039: the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per pound for sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per pound for sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40?
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Quantity: f + s = 20 lb.
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Value::: 9f +8s = 8.4*20
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Multiply thru 1st by 90.
Multiply thru 2nd by 10.
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90f + 90s = 90*20
90f + 80s = 84*20
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Subtract 2nd from 1st and solve for "s":
10s = 6*20
s = 12 lb (amt. of sumatran coffee needed in the mixture)
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Since f+s = 20, f = 8 lb (amt. of french coffee needed in the mixture)
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Cheers,
Stan H.

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