math
posted by Mandy .
A store mixes Brazilian coffee worth $11 per Kilogram, Turkish coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Can you help me find how much of each should be used to make a 564 Kilogram of both mixtures please and thank you.

Let the amounts be B and T kilograms.
B + T = 564
11 B + 13 T = 12(B + T) = 6768
11 B + 11 T = 6204
2 T = 564
T = 282
B = 282
(equal amounts of each)