SOLUTION: Question: A store mixes Kenyan coffe worth $12 per kilogram, and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. How much of each should be

Question 718014: Question:
A store mixes Kenyan coffe worth $12 per kilogram, and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram.
How much of each should be used to make a 312 kilogram mixture?
Found 2 solutions by lynnlo, josmiceli:
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kg of Kenyan coffee needed
Let = kg of Venezuelan coffee needed
given:
(1)
(2)
----------------------------
(2)
(2)
Divide through by
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
234 kg of Kenyan coffee are needed
78 kg of Venezuelan coffee are needed
check:
(2)
(2)
(2)
OK

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