Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of blended coffee beans selling for $4.45 per pound. She plans to do this by blending together a high-quality bean costing $5.25per pound and a cheaper bean at $3.25 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

Question

Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 150 pounds of blended coffee beans selling for $4.45 per pound. She plans to do this by blending together a​ high-quality bean costing $5.25per pound and a cheaper bean at $3.25 per pound. To the nearest​ pound, find how much​ high-quality coffee bean and how much cheaper coffee bean she should blend.

Scott · Answer

c + h = 150 ... 325 c + 325 h = 325 * 150 325 c + 525 h = 445 * 150 subtract equations to eliminate c ... then substitute back to find h

Amber · Answer

A chemist wants to create a mixture that is 40% (0.40) of a certain chemical. She wants to create 50 liters. She has a stock of 25% (0.25) concentration and a stock of 60% (0.60) concentration. How much of each type should she use?

Steve · Answer

same problem: If there are x liters of 25%, then the rest (50-x) is 60%. So, .25x + .60(50-x) = .40 * 50