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Fertilizer is sold in bags labeled with the amount of nitrogen (N), phosphoric acid (P2O5), and...

Fertilizer is sold in bags labeled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. For example, a bag of Vigoro Ultra Turf fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash. Another type of fertilizer, Parker's Premium Starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per bag. Determine the number of bags of each type required to yield a mixture containing 101 pounds of nitrogen, 103 pounds of phosphoric acid, and 28 pounds of potash.

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