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The active ingredients in lawn and garden fertilizer are nitrogen, phosphorus, and potassium. Bags of fertilizer usually carry three numbers, as in 5-10-5 fertilizer (a typical fertilizer for flowers). The first number is the mass percent N; the second is the mass percent P2O5; the third is the mass percent K2O. Thus, the active ingredients in a 5-10-5 product are equivalent to 5% N, 10% P2O5, and 5% K2O, by weight. (The reporting of fertilizer ingredients in this way is a convention agreed on by fertilizer manufacturers.) What is the mass in pounds of each of these three elements (N, P, K) in a 100-lb bag of fertilizer?
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