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.

Answer 1

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

Answer 2

Thank you so much Scott!