document.write( "Question 1162826: You need 665 mL of a 65% alcohol solution. On hand, you have a 95% alcohol mixture. How much of the 95% alcohol mixture and pure water will you need to obtain the desired solution?\r
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document.write( "You will need
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document.write( " ? mL of pure water
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document.write( "and
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document.write( " ? mL of the 95% solution. \n" );
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Algebra.Com's Answer #786706 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Let x be the volume of the pure water under the question, in mL.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the volume of the pure alcohol in 140 mL of the 65% alcohol solution is 0.65*140 mL.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total volume after adding x mL of water is (140+x) mL.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The concentration equation for the resulting mixture after adding water is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " %280.65%2A140%29%2F%28140%2Bx%29 = 0.35.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the equation, \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 0.065*140 = 0.35*(140+x)\r \n" ); document.write( "\n" ); document.write( " 0.065*140 = 0.35*140 + 0.35x\r \n" ); document.write( "\n" ); document.write( " x = %28065%2A140+-+0.35%2A140%29%2F0.35 = 120 mL.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER. 120 mL of water should be added.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------- \n" ); document.write( "Same problem, different numbers. \n" ); document.write( " \n" ); document.write( " |