Problema Solution
she needs to prepare 170 pounds of blended coffee beans selling for $4.43 per pound. She plans to do this by blending together a high quality bean costing $5.25 per pound and a cheaper bean at $3.25 per pound. how much high quality coffee bean and how much cheaper coffee bean should she blend
Answer provided by our tutors
let
x = lbs of high quality bean costing $5.25 per pound
y = lbs of cheaper bean costing 3.25 per pound
she needs to prepare 170 pounds of blended coffee beans selling for $4.43 per pound:
x + y = 170
5.25x + 3.25y = 4.43*170
by solving the above system of equations we find:
x = 100.3 lbs
y = 69.7 lbs
click here to see the step by step solution of the system of equations:
100.3 lbs of high quality coffee bean and 69.7 lbs of much cheaper coffee bean should be blended.