Coffee Bean Mixture

Question

Sarah Meeham blends coffee for Tasti-delight. She needs to prepare 170 pounds of blended coffee beans selling for $4.76 per pound. She plans to do this by blending together a high-quality bean costing $6.00 per pound and a cheaper bean at $3.00 per pound. To the nearest tenth, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

Answer 1

170 pounds blended @4.76/pound

6.00/pound

3.00/pound

x=# lbs of 3.00 beans

y=# lbs of $6.00 beans

 

x+y=170

3x+6y=4.76(170)

 

x=170-y

 

3(170-y)+6y=809.20

510-3y+6y=809.20

510+3y=809.20

3y=299.20

y=99.733

 

x+99.733=170

x=70.267

 

CHECK (using nearest tenth):

 

70.3+99.7=170

 

cheaper= 70.3 pounds

expensive=99.7 pounds