SOLUTION: she need to prepare 150 pounds of blended coffee beans selling for 4.97 per pound. she plans to do this by blending together a high-quality bean costing 6.25 per pound and a cheape

Question 896188: she need to prepare 150 pounds of blended coffee beans selling for 4.97 per pound. she plans to do this by blending together a high-quality bean costing 6.25 per pound and a cheaper quality bean at 3.50 per pound. to the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she would blend
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of high-quality coffee bean needed
Let = pounds of cheaper coffee bean needed
--------------------------------
(1)
(2)
---------------------------------
(2)
(2)
(2)
(2)
-------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
---------------------------

and
(1)
(1)
(1)
--------------------
80.182 pounds of high-quality coffee bean are needed
69.818 pounds of cheaper coffee bean are needed
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Need to prepare 170 pounds of blended coffee beans selling for $4.53 per pound. The... (answered by josgarithmetic)

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of... (answered by stanbon,addingup)

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of... (answered by josgarithmetic)

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of... (answered by ikleyn)

Selma needs to prepare 180 pounds of coffee selling for $4.72 per pound. She plans to do... (answered by stanbon)

Sarah blends coffee for delight. She needs to prepare 100 pounds of blended coffee beans (answered by Edwin McCravy)

a girl blends coffee for a coffee shop she needs to prepare 200 pounds of blended coffee... (answered by ankor@dixie-net.com)

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 190 pounds of blended (answered by rwm)