SOLUTION: A store mixed Brazilian coffee worth $11 per kilogram and Turkish coffee woth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to

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Question 413009: A store mixed Brazilian coffee worth $11 per kilogram and Turkish coffee woth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 480 kilogram mixture.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let a = kilograms of Brazilian coffee needed
let b = kilograms of Turkish coffee needed
given:
(1) +%2811a+%2B+13b%29%2F%28a+%2B+b%29+=+12 dollars/kg
(2) a+%2B+b+=+480 kg
------------------------
(1) +%2811a+%2B+13b%29%2F%28a+%2B+b%29+=+12
(1) +11a+%2B+13b+=+12%2A%28a+%2B+b%29+
(1) +11a+%2B+13b+=+12a+%2B+12b
(1) a+=+b
and, since,
a+%2B+b+=+480
a+=+240 kg
b+=+240 kg
240 kg of each should be used
check answer:
(1) +%2811%2A240+%2B+13%2A240%29%2F480+=+12
(1) 2640+%2B+3120+=+12%2A480
(1) 5760+=+5760
OK