SOLUTION: A coffee house has 20lbs of coffee that sells for $4/lb. How many lbs of coffee that sells for $8/lb should be mixed with the 20 lbs of $4 coffee to obtain a blend that sells for $

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Question 135074: A coffee house has 20lbs of coffee that sells for $4/lb. How many lbs of coffee that sells for $8/lb should be mixed with the 20 lbs of $4 coffee to obtain a blend that sells for $5/lb?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of $8 per lb coffee needed
Now we know that the total cost of the coffee before the mixture takes place has to equal the total cost of the coffee after the mixture takes place, so:
$4(20)+$8x= $5(20+x) simplify
$80+$8x=$100+$5x subtract $80 and also $5x from each side
$80-$80+$8x-$5x=$100-$80+$5x-$5x collect like terms
$3x=$20 divide each side by $3
x=6 2/3 lb------amount of $8 coffee needed
Ck
$4*20+$8*6.6667=$5(26.66667)
$80+$53.3333333=$133.33333333
$133.33333333=$133.333333
Hope this helps---ptaylor