Problema Solution

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 190 pounds of blended coffee beans selling for $4.24 per pound. She plans to do this by blending together a high quality beans costing $6.25 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 should blend.

Answer provided by our tutors

let


x = lbs of the high quality coffee bean

y = lbs of the cheaper coffee bean


She needs to prepare 190 pounds of blended coffee beans selling for $4.24 per pound


x + y = 190


6.25x + 2.00y = 4.24*190


by solving the system we find


x = 100 lb


y = 90 lb


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She should blend 100 lbs of high quality coffee bean and 90 lb of the much cheaper coffee bean.