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 130pounds of blended coffee beans selling for $4.38per pound. She plans to do this by blending together a high-quality bean costing $5.25 per pound and a cheaper bean at $3.00per 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 = the amount of high-quality bean needed
Then 130-X = the amount of cheaper bean needed
5.25X + 3.00(130 - X) = 4.38(130)
5.25X + 390 - 3X = 569.4
2.25X = 179.4
X = 79.73
Since they are asking you to round to the nearest pound, X = 80 pounds (high quality beans)
130 - 80 = 50 pounds (cheaper beans)