She should blend ___ lbs of high quality beans.

Question

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 130 pounds of blended coffee beans selling for $4.73 per pound. She plans to do this by blending together a high-quality bean costing $6.00 per 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.

She should blend ___ lbs of high quality beans.

She should blend ___ lbs of cheaper beans.

Answer 1

Hi Muilan, the way to solve this type of problem is to set up a table with the information.

 

Let x represent the amount of high-quality beans.

 

Bean type        Amount        Cost               Total

---------------------------------------------------------------

High-Quality         x            6.00               6.00 * x

 

Cheaper          130 - x        3.25            3.25 * (130 - x)

 

Tasti-Delight      130          4.73               4.73 * 130

 

Equation to solve:

 

6.00 * x + 3.25 * (130 - x) = 4.73 * 130

 

Combine terms:

 

6.00 * x - 3.25 * x = 4.73 * 130 - 3.25 * 130

 

2.75x = 192.4

 

x = 69.96, or to the nearest pound, 70.

 

Shara needs 70 pounds of high-quality coffee beans.

 

Shara needs 130 - 70, or 60 pounds of cheaper beans.

 

Check:

 

6.00 * 70 + 3.25 * (130 - 70) = 4.73 * 130

 

420 + 195 = 614.9

 

615 ≈ 614.9

 

Values check.

 

Questions?