Problema Solution
Sara mixes coffee for Tasti-delight. She needs to prepare a 140 pounds of blended coffee beans selling for $4.71 per pound. She plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean that costs $3 per pound. To the nearest pound find how much high quality coffee bean and how much cheaper coffee bean she should blend.
Answer provided by our tutors
let
x = lbs of the high quality bean costing $6.00 per pound
y = lbs of a cheaper bean that costs $3 per pound
She needs to prepare a 140 pounds of blended coffee beans selling for $4.71 per pound
x + y = 140
6x + 4y = 4.72*140
by solving the above system of equations we find
x = 50.4 lbs
y = 89.6 lbs
click here to see the step by step solution of the system of equations
Sara should blend 50.4 lbs of the high quality bean and 89.6 lbs of the cheaper bean.