Sarah Meeham blends coffee for TastiDelight She needs to pre

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 130 pounds of blended coffee beans selling for $5.58 per pound. She plans to do this by blending together a high-quality bean costing $6.50 per pound and a cheaper bean at $2.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

she should blend _ lbs of the quality beans

she should blend _ lbs of the cheaper beans

Solution

Let high quality blend be x lbs

Let cheaper quality blend be y lbs

She needs to prepare 130 pounds of blended coffee beans selling for $5.58 per pound.

x +y = 130 ----(1)

She plans to do this by blending together a high-quality bean costing $6.50 per pound and a cheaper bean at $2.50 per pound

6.50x + 2.50y = 5.58*130

6.50x + 2.50y = 725.4 ----(2)

On solving x and y

x= 100.1 lbs and y = 29.9 lbs