SOLUTION: A coffee distributor needs to mix a(n) Queen City coffee blend that normally sells for $9.10 per pound with a Organic Free Trade coffee blend that normally sells for $13.70 per pou
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Question 1054026: A coffee distributor needs to mix a(n) Queen City coffee blend that normally sells for $9.10 per pound with a Organic Free Trade coffee blend that normally sells for $13.70 per pound to create 70 pounds of a coffee that can sell for $13.57 per pound. How many pounds of each kind of coffee should they mix?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $9.10/lb coffee needed
Let = pounds of $13.70/lb coffee needed
--------------------------------------------
(1)
(2)
--------------------------------------
(2)
(2)
(2)
----------------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
------------------------------
and
(1)
(1)
(1)
-------------------------
They need 1.978 pounds of Queen City Coffee
They need 68.022 pounds of Organic Free Trade Coffee
-------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK
Hope I got it
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