SOLUTION: a store mixes kenyan coffee worth $12 per kilogram and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find how much of each should be used t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a store mixes kenyan coffee worth $12 per kilogram and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find how much of each should be used t      Log On


   

Question 433235: a store mixes kenyan coffee worth $12 per kilogram and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find how much of each should be used to make a 324-kilogram mixture.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If you've got 324 kilos at $13 a kilo, then your total is $4212:
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x+y=324
12x+16y=4212
======================
12x+16y=4212
12x+12y=3888
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''''4y=324
y=81
x=243
Therefore you need to mix 243 kilos of kenyan coffee with 81 kilos of Venezuelan coffee to get 324 kilos of mixed coffee worth $13 a kilo.