Question 1094980
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A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate 
covered peanuts. The raisins cost $2 per pound, the sunflower seeds cost $1 per pound, and the chocolate covered peanuts cost $1.50 
per pound. the mixture calls for twice as many raisins as sunflower seeds. the total cost of the mixture is $14.50. 
How much of each ingredient did the store use
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Let  x = weight of sunflower seeds (in pounds).

Then the weight of the raisins is 2x pounds and the weight of the chocolate covered peanuts is 9 - x - 2x = 9-3x pounds.


The "cost equation" is

2*(2x) + 1*x + 1.50*(9-3x) = 14.50   dollars.


=============>  4x + x + 13.5 - 4.5x = 14.5  ====>  0.5x = 14.5 - 13.5 = 1  ===>  x = 2.


<U>Answer</U>.  2 pounds of sunflower seeds, 4 pound of raisins and 9-3*2 = 3 pounds of the chocolate covered peanuts.
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