SOLUTION: Sarah blends coffee for tasti-delight. She needs to prepare 190 lbs of blended coffee beans selling for $3.58 per pound. She plans to do this by blending together a high-quality be

Algebra ->  Matrices-and-determiminant -> SOLUTION: Sarah blends coffee for tasti-delight. She needs to prepare 190 lbs of blended coffee beans selling for $3.58 per pound. She plans to do this by blending together a high-quality be      Log On


   

Question 723504: Sarah blends coffee for tasti-delight. She needs to prepare 190 lbs of blended coffee beans selling for $3.58 per pound. She plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $2.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she would blend.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES TO ALL QUANTITIES
M = 190 pounds of blend
L = $2/pound coffee
H = $5/pound coffee
T = $3.58/pound blend to make
u = unknown pounds of the cheap coffee to use
v = unknown pounds of the high quality coffee to use

FORM EQUATIONS
highlight%28%28uL%2BvH%29%2FM=T%29 and highlight%28u%2Bv=M%29
Solve for u and v.

Substitute given values into formulas to find values for u and v.