SOLUTION: A coffee manufacturer wants to market a new blend of coffee that will cost $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. What amounts of

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Question 896900: A coffee manufacturer wants to market a new blend of coffee that will cost $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. What amounts of each coffee should be blended to obtain the desire mixture?

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Mixture: Two-Part, price or cost, both material amounts unknown - http://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = pounds of $2.75 / lb coffee needed
Let = pounds of $5 / lb coffee needed
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You need to know the total pounds of coffee to be made
Suppose pounds is required
(1)
and
(2)
(2)
(2)
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Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
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and, since
(1)
(1)
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4.889 pounds of $2.75 / lb coffee are needed
5.111 pounds of $5 / lb coffee are needed