Question

Sarah meeham blends coffee for​ tasti-delight. she needs to prepare 150 pounds of blended coffee beans selling for ​$4.13 per pound. she plans to do this by blending together a​ high-quality bean costing ​$6.00 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 should blend.

Answer 1

Let'x' represent the pounds of $5.50 coffee used, then '150 -x  represents the pounds of $2.50 coffee used.

4.70(150)=5.50x+2.50(150-x)
solving fo 'x' we have x=110

150-110=40

40 pounds of $2.50 coffee should be blended with 110 pounds of $5.50 coffee