# A coffee house has 20 pounds of a coffee that sells for $4 perpound. How many pounds of coffee that sells for$8 a pound shouldbe mixed with 20 pounds of the $4 per pound cofee to obtain ablend that will sell for$5 per pound? How much of the $5 per poundcoffee will there be? Taniya Burns 2022-07-27 Answered A coffee house has 20 pounds of a coffee that sells for$4 perpound. How many pounds of coffee that sells for $8 a pound shouldbe mixed with 20 pounds of the$ 4 per pound cofee to obtain ablend that will sell for $5 per pound? How much of the$5 per poundcoffee will there be?
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Dominique Ferrell
type 1 coffee: sells for $4 per pound type 2 coffee: sells for$8 per pound
let x pounds of type 2 coffee is mixed with20 pounds of type 1 coffee to obtain a blend that will sell for $5 per pound. selling price of type 1 coffee (20 pounds at a rate$4/pound) =20*4 = 80$selling price of type 2 coffee (x pounds at a rate$8/pound) = x*8= 8x $total coffee(type 1 + type 2) = (20 + x)pound if the blend sells for 5$ /pound then selling price = 5*(20 + x) =100 + 5x $so we can say, 100 + 5x = 80 + 8x $⇒8x-5x=100-80=20$ $⇒3x=20$ $⇒x=20/3=6.67$ Answer: 6.67 pound of type 2 coffee(that sells for$8 per pound)