SOLUTION: Three varieties of coffee long dash— Coffee​ A, Coffee​ B, and Coffee C long dash— are combined and​ roasted, yielding a 5151​-lb batch of coffee beans. Twice as many p

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Question 1151890: Three varieties of coffee long dash— Coffee​ A, Coffee​ B, and Coffee C long dash— are combined and​ roasted, yielding a 5151​-lb batch of coffee beans. Twice as many pounds of Coffee​ C, which retails for ​$11.2411.24 per​ lb, are needed as Coffee​ A, which sells for ​$15.2115.21 per lb. Coffee B retails for ​$13.9913.99 per lb. How many pounds of each coffee should be used in a blend that sells for ​$13.4513.45 per​ lb?
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Too many doublings in your description. 
COFFEE     PRICE      QTY       COST
A          $15.21      x       15.21x
B          $13.99      y       13.99y
C          $11.24     2x       22.48x
--------------------------------------------
TOTAL                 51


The quantity equation is obvious.

The PRICE equation for the given 13.45 per pound is the sum of the COST column items divided by 51, equal to 13.45.

Setup the system , simplify and solve.
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