SOLUTION: A coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to mixed to create 100lb of a mixture that sells for $11.25 per pound . How

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to mixed to create 100lb of a mixture that sells for $11.25 per pound . How      Log On


   

Question 49355This question is from textbook Beginning Algebra
: A coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to mixed to create 100lb of a mixture that sells for $11.25 per pound . How much of each type of bean should be used in the mixture?
Please help solve This question is from textbook Beginning Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
amount of 9$ dollar beans = a
amount of 12$ dollar beans = b
Remember: a + b = 100 which can mean: a = 100 - b
(9a + 12b)/(a + b) = 11.25
(9a + 12b)/(100) = 11.25
9a + 12b = 1125
9(100 - b) + 12b = 1125
900 - 9b + 12b = 1125
3b = 225
b = 75
Plug:
a = 100 - b = 100 - 75 = 25
25 $9 dollar beans
75 $12 dollar beans