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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