SOLUTION: Three varieties of coffee long dash— Coffee​ A, Coffee​ B, and Coffee C long dash— are combined and​ roasted, yielding a 5050​-lb batch of coffee beans. Twice as many p

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Question 1144200: Three varieties of coffee long dash— Coffee​ A, Coffee​ B, and Coffee C long dash— are combined and​ roasted, yielding a 5050​-lb batch of coffee beans. Twice as many pounds of Coffee​ C, which retails for ​$12.76 per​ lb, are needed as Coffee​ A, which sells for ​$15.37 per lb. Coffee B retails for ​$13.2113.21 per lb. How many pounds of each coffee should be used in a blend that sells for ​$13.45 per​ lb?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

Let x be the amount of coffee A, in pounds;

then the amount of coffee C is 2x pounds, according to the condition, and

     the amount of coffee B is (50-x-2x) = (50-3x) pounds.



The equation for the price of the mixture is


     = 13.45  dollars,   or

    15.37*x + 13.21*(50-3x) + 12.76*2x = 50*13.45.



Solve it for x.



Then calculate the other amounts.

I reduced your problem for you to one single equation for one unknown.

The rest is a simple arithmetic.


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