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

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) (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) (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 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!

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