SOLUTION: Store mixes Brazillian coffee worth $10 per kilo and Turkish coffee worth $13 per kilo. The mixture needs to sell for $11 per kilo. Find out how much of each should be used to make

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Question 396320: Store mixes Brazillian coffee worth $10 per kilo and Turkish coffee worth $13 per kilo. The mixture needs to sell for $11 per kilo. Find out how much of each should be used to make 564 kilo mixture.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = kilos of Brazilian coffee to use
Let b = kilos of Turkish Coffee to use
given:
(1) %2810a+%2B+13b%29%2F564+=+11
(2) a+%2B+b+=+564
Multiply both sides of (1) by 564
(1) 10a+%2B+13b+=+6204
Multiply both sides of (2) by 10, and
subtract from (1)
(1) 10a+%2B+13b+=+6204
(2) -10a+-+10b+=+-5640
3b+=+564
b+=+188
and, from (2),
a+%2B+188+=+564
a+=+376
376 kilos of Brazilian coffee are needed
188 kilos of Turkish Coffee are needed