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To find out how many quarts of water must be added, we first calculate the amount of pure substance in the 80 percent mixture. In 4 quarts of an 80 percent mixture, there are 3.2 quarts of the substance (0.8 x 4). Let ( x ) be the amount of water added. The total volume after adding water will be ( 4 + x ) quarts, and we want this to equal a 50 percent concentration, which gives the equation ( 3.2 = 0.5(4 + x) ). Solving for ( x ) gives ( 3.2 = 2 + 0.5x ), resulting in ( 0.5x = 1.2 ), or ( x = 2.4 ). Therefore, 2.4 quarts of water must be added.

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1mo ago

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