SOLUTION: Fred's coffee shop makes a blend that is a mixture of two types of coffee. Type A costs Fred $5.50 per pound and type B coffee cost $4.30 per pound. This month, Fred made 133 pound

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Fred's coffee shop makes a blend that is a mixture of two types of coffee. Type A costs Fred $5.50 per pound and type B coffee cost $4.30 per pound. This month, Fred made 133 pound      Log On


   

Question 1195709: Fred's coffee shop makes a blend that is a mixture of two types of coffee. Type A costs Fred $5.50 per pound and type B coffee cost $4.30 per pound. This month, Fred made 133 pounds of the blend, for a total of $667.90. How many pounds of type A did Fred use?





Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
TYPE        PRICE         QUANTITY          COST

 A           5.5           a              5.5a

 B           4.3          133-a            4.3(133-a)

BLEND                      133              667.9

Maybe how this was arranged and what you can do is clear.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Fred's coffee shop makes a blend that is a mixture of two types of coffee. Type A costs Fred $5.50 per pound and type B coffee cost $4.30 per pound. This month, Fred made 133 pounds of the blend, for a total of $667.90. How many pounds of type A did Fred use?
Let amount of Type A be A
Then amonunt of Type B is 133 - A
We then get the following BLEND-cost equation: 5.5A + 4.3(133 - A) = 667.9
5.5A + 4.3(133) - 4.3A = 667.9
5.5A - 4.3A = 667.9 - 4.3(133)
1.2A = 96
Amount of Type A, or highlight_green%28matrix%281%2C6%2C+A%2C+%22=%22%2C+96%2F1.2%2C+%22=%22%2C+80%2C+lbs%29%29

Should be pretty easy for you to now determine how much of Type B was used in the blend. 

BTW...the other person's response will NEVER get you the correct answers. As a matter of fact, a RIDICULOUSLY
high amount for A would be derived.....an amount that's over 30 times as great as the total. As a result, a 
RIDICULOUSLY high NEGATIVE amount for Type B would ensue. Can this be? I leave you to ponder this!