A store mixes Brazilian coffee worth $11 per kilogram and Venezuelan coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each is needed to to make a 216-kilogram mixture.

Question

Brazilian coffee needed-

Venezuelan coffee needed-

Answer 1

11B + 15V = 14(B+V)
B+V = 216

11B + 15(216-B) = 14*216
B = 54
V = 162

check:
11*54 + 15*162 = 3024 = 14*216