SOLUTION: 21 kg of Brand M Cinnamon was made by combining 9 kg of Indonesian cinnamon which costs $16/kg with 12 kg of Thai cinnamon which costs $9/kg. Find the cost per kg of the mixture.

Question 772704: 21 kg of Brand M Cinnamon was made by combining 9 kg of Indonesian cinnamon which costs $16/kg with 12 kg of Thai cinnamon which costs $9/kg. Find the cost per kg of the mixture.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This is just like a concentration mixture problem in which the strength or concentration is units of Dollars per Kilogram, instead of "percent".

L = 9 dollars per kg, Thai
H = 16 dollars per kg, Indonesian
t= unknown price of mixture
M = 21 kg. mixture
U = 12 kg. of Thai
V = 9 kg. of Indonesian

Equations to Create the System:
and
but we only need the rational equation and t is already solved.

Just substitute the known values and compute t.

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