SOLUTION: Betty Johnson blends coffee for Starbucks. She needs to prepare 200 pounds of blended coffee beans selling for $3.51 per pound. She plans to do this by blending together a high qua

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Betty Johnson blends coffee for Starbucks. She needs to prepare 200 pounds of blended coffee beans selling for $3.51 per pound. She plans to do this by blending together a high qua      Log On


   

Question 1054158: Betty Johnson blends coffee for Starbucks. She needs to prepare 200 pounds of blended coffee beans selling for $3.51 per pound. She plans to do this by blending together a high quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. To the nearest pound, find how much high quality coffee bean and how much cheaper coffee bean she should blend.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the amount of high quality coffee bean; then the amount of cheaper coffee beans is 200-n. So:
4.75n+2(200-n)=200(3.51)
2.75n+400=702
2.75n=302
n=109.82
200-n=90.18
You need 109.82 lbs. of high quality beans and 90.18 lbs. of cheap beans. ☺☺☺☺