SOLUTION: Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $10.25 per pound and Fuji beans cost $8.25 per pound. He bought a total of 32 poun

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $10.25 per pound and Fuji beans cost $8.25 per pound. He bought a total of 32 poun      Log On

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Question 630367: Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans.
Kona beans cost $10.25 per pound and Fuji beans cost $8.25 per pound.
He bought a total of 32 pounds of coffee beans and it cost $302.
Kwamee bought___ pounds of Kona beans and____ pounds of Fuji beans.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of Kona beans needed
Let +b+ = pounds of Fuji beans needed
+10.25a+ = cost of Kona beans
+8.25b+ = cost of Fuji beans
------------------------
given:
(1) +a+%2B+b+=+32+
(2) +10.25a+%2B+8.25b+=+302+
-------------------------
(2) +1025a+%2B+825b+=+30200+
Multiply both sides of (1) by +825+
and subtract (1) from (2)
(2) +1025a+%2B+825b+=+30200+
(1) +-825a+-+825b+=+-26400+
+200a+=+3800+
+a+=+19+
and, since
(1) +a+%2B+b+=+32+
(1) +19+%2B+b+=+32+
(1) +b+=+13+
19 pounds of Kona beans are needed
13 pounds of Fuji beans are needed
check:
(2) +10.25%2A19+%2B+8.25%2A13+=+302+
(2) +194.75+%2B+107.25+=+302+
(2) +302+=+302+
OK