A type of coffee costs $ 6/kg and other costs $ 8/kg, How many pounds of each should be mixed to Pro?
A type of grain coffee costs $ 6/kg and other costs $ 8/kg, How many pounds of each should be mixed to produce 10 kg for a value of $ 6.50/kg?
Let x be the amount of the mixture of $ 6/kg and 10 - x the amount of $ 8/kg mixture. Recall that the price of the mixture equals the amount of time the mixture is price. From $ 6 is price per kg of mixture of 1 and we have x kg, 6x cost to produce. As the mixture 2 is $ 8/kg and the number is (10 - x) kg, its price will be 8 (10 - x). The mixture will have a total value of $ 6.50/kg with 10 kg of giving $ 65 worth of the total mixture. This gives: 6x + 8 (10 - x) = 65 ==> 6x + 80 - 8x = 65 ==>-2x + 80 = 65 ==>-2x = -15 ==> x = 7.5 Therefore, 7.5kg of mixed $ 6/kg and 10 - 7.5 = 2.5 kg $ 8/kg mixture should be used. I hope that helps!
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