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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