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

Question 1014810: A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. what amount of each coffee should be blended to obtain the desired mixture? (hint: Assume that the total weight of the desired blend is 100 pounds)
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 $5.00/ lb coffee needed
Assume total of 100 pounds of blend
----------------------------------
(1)
(2)
---------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------

and
(1)
(1)
48.89 pounds of $2.75/ lb coffee are needed
51.11 pounds of $5.00/ lb coffee are needed
---------------------------------------
check:
(2)
(2)
(2)
(2)
OK
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