SOLUTION: Sean has 3 pounds of a mixture containing 45% columbian coffee and the rest Kenyan coffee. He wants to adjust the blend to have 27% Kenyan coffee. If he can add a mixture which co

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Sean has 3 pounds of a mixture containing 45% columbian coffee and the rest Kenyan coffee. He wants to adjust the blend to have 27% Kenyan coffee. If he can add a mixture which co      Log On

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Question 1137393: Sean has 3 pounds of a mixture containing 45% columbian coffee and the rest Kenyan coffee. He wants to adjust the blend to have 27% Kenyan coffee. If he can add a mixture which contains 15% Kenyan coffee. How much should he add?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
3 pounds of 55% Kenyan coffee
x pounds of 15% Kenyan coffee
x+3 pounds of 27% Kenyan, mixture

Using the percents in their decimal form,
and accounting for the AMOUNT of the Kenyan coffee,
Kenyan coffee of the two parts = Kenyan coffee in the mixture
3%2A0.55%2B0.15x=0.27%28x%2B3%29
-
0.55%2A3%2B0.15x=0.27x%2B0.27%2A3
0.55%2A3-0.27%2A3=0.27x-0.15x
0.84=0.12x
highlight%28x=7%29--------------the amount of the 15% Kenyan coffee blend