SOLUTION: Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100lb of a mixture that will sell f
Algebra.Com
Question 78642: Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture? Help, Help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
:
Let x = $12/lb coffee amt
:
It says the resulting amt is to be 100 lb, therefore:
(100-x) = $9/lb coffee amt
;
12x + 9(100-x) = 11.25(100)
:
12x + 900 - 9x = 1125
:
12x - 9x = 1125 - 900
:
3x = 225
:
x = 225/3
:
x = 75 lb of $12 coffee required:
:
100 - 75 = 25 lb of 9$ coffee
:
:
Check solutions:
12(75) + 9(25) =
900 + 225 = 1125
RELATED QUESTIONS
60. Business and finance. A coffee merchant has coffee beans that sell for $9 per pound... (answered by Paul)
Business and finance. A coffee merchant has coffee beans that sell for $9 per
pound and... (answered by fractalier)
) Business and finance. A coffee merchant has coffee beans that sell for $9 per pound... (answered by stanbon)
8. Business and finance. A coffee merchant has coffee beans that sell for $9 per pound... (answered by jim_thompson5910)
60. Business and finance. A coffee merchant has coffee beans that sell for $9 perpound... (answered by bucky)
Business and finance. A coffee merchant has coffe beans that sell for $9 per pound and... (answered by psbhowmick,adamchapman)
Business and Finance: A coffee merchant has cofee beans that sell for $9 per pound and... (answered by ankor@dixie-net.com)
A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two (answered by stanbon)
Solve each of the following problems. Be sure to show the equations used for the... (answered by ptaylor)