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An insecticide contain 86 centigrams of inert ingredient for every 1 centigram of active ingredient. If a quantity of the insecticide weighs 522 centigrams, how much of each type of ingredient does it contain?

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sqdancefan

In each quantity of 87 cg, 1 of them is active ingredient. In the quantity of interest,

... (1/87)·522 cg = 6 cg . . . is active ingredient

The remainder of that quantity, 516 cg, is inactive ingredient.