SOLUTION: The Coffee Hut charges $9 per pound for Audioslave French Roast coffee and $8 per pound for Humble Pie Bold coffee. How much of each type should be used to make a 20-lb blend that

Algebra.Com
Question 1074468: The Coffee Hut charges $9 per pound for Audioslave French Roast coffee and $8 per pound for Humble Pie Bold coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pounds of AFR coffee needed
Let = pounds of HPB coffee needed
------------------------------------------
(1)
(2)
-----------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
------------------------

and
(1)
(1)
----------------------
8 pounds of AFR coffee are needed
12 pounds of HPB coffee are needed
-----------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound... (answered by josgarithmetic,ikleyn)
The Coffee Counter charges $7 per pound for Kenyan French Roast coffee and $6 per pound... (answered by Fombitz)
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per... (answered by kennedysj)
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per... (answered by nyc_function)
the bean counter charges $9.00 per pound for kenya french roast coffee and $8.00 per... (answered by stanbon)
The Coffee Counter charges $9.00 per pound of Kenyan French Roast coffee and $11.00 per... (answered by josgarithmetic)
What are the equations used to solve this problem: The Coffee Counter charges $9.00 per... (answered by rwm)
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee... (answered by solver91311)
This is a substitution/elimination problem. A coffee counter charges 9.00 per pound for... (answered by nerdybill)