Question 748331
This is a mixture problem in which two items of two strengths are mixed giving a mixture of a certain expected strength, in this case, the strength being a price.


Assign variables to everything:
L = 9 dollars/pound, the Kenyon roasted
H = 11 dollars/pound, the Sumatran
T = 10 dollars/pound, mixture price wanted
u = pounds of Kenyan coffee
v = pounds of Sumatra coffee
M = 12 pounds, mixture wanted


Establish Equations:
{{{(Lu+Hv)/M=T}}} and {{{u+v=M}}}
The unknowns are u and v.  Solve the system for u and v.



Computations:
Substitute the known given values to compute u and v.