She needs to prepare 160 pounds of blended coffee beans selling for $3.69per 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 should blend.

Question

She needs to prepare 160 pounds of blended coffee beans selling for ​$3.69per 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 should blend.

Scott · Answer

h + c = 160 ... 200 h + 200 c = 200 * 160 500 h + 200 c = 369 * 160 subtract equations to eliminate c solve for h, then substitute back to find c

Brandy · Answer

Thank you so much Scott!