SOLUTION: please help with the following question Three varieties of coffee long dash Coffee​ A, Coffee​ B, and Coffee C long dash are combined and​ roasted, yielding a 52​-lb batc

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Question 1153984: please help with the following question
Three varieties of coffee long dash Coffee​ A, Coffee​ B, and Coffee C long dash are combined and​ roasted, yielding a 52​-lb batch of coffee beans. Twice as many pounds of Coffee​ C, which retails for ​$9.95 per​ lb, are needed as Coffee​ A, which sells for ​$15.37 per lb. Coffee B retails for ​$13.99 per lb. How many pounds of each coffee should be used in a blend that sells for ​$12.61 per​ lb?
Should be used
lb. of Coffee​ A,
lb. of Coffee B and
lb. of Coffee C.
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
COFFEE         QUANT.       PRICE        COST

 A               a           15.37

 B               b           13.99

 C             2a            9.95

TOTALS         52             12.61

You should be able to fill-in the cost information, and then write two equations in two unknowns, and then solve. A fairly simple substitution should allow for ONE single equation in ONE unknown.
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