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MIT 18.06 Linear Algebra, Spring 2010
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A store mixes Brazilian coffee worth $12 per kilogram and Turkish coffee worth $14 per kilogram. The mixture is to sell worth $13 per kiligram. Find out how much each should be used to make a 336-kilogram mixture. How much mixure should be in Turkish coffee? How much mixture should be in Brazilian coffee?
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you want x kg of Brazilian and y kg of Turkish. Total must be 336 so: x + y = 336 Now the price: cost of brazilian : 12 * x cost of turkish: 14 * y Average cost: (12x + 14y)/(x+y) = 13 Now solve for x and y
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