document.write( "Question 1101794: During a science experiment, Jean created a 36% alcohol solution by mixing 11 fluid ounces of a 50% alcohol solution with a certain amount of a 14$ alcohol solution. How many fluid ounces of the 36% alcohol solution did she create?\r
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document.write( "A. 25 fl oz
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document.write( "B. 18 fl oz
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document.write( "C. 20 fl oz
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document.write( "D. 7 fl oz \n" );
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Algebra.Com's Answer #716430 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Let C denote the 14% solution and D denote the final 36% solution. \n" ); document.write( "We have 11 oz of 50% solution. \n" ); document.write( "Using the method of alligation. \n" ); document.write( "14= 36 - 50 \n" ); document.write( "22= 14 - 36 \n" ); document.write( "E.g. There are 22 parts of C for every 14 parts of D \n" ); document.write( "then there are 11 parts of z, since (22/14)=11/z \n" ); document.write( "x= 7.0= 11/(22/14) oz of 14% solution to add to your 11 oz of 50% solution. \n" ); document.write( "y= 18.0= (11+7.0) oz of the final 36% solution. \n" ); document.write( "check \n" ); document.write( "0.14 * 7.0 + 0.5 * 11 = 0.36*(11+7.0) \n" ); document.write( "0.98 + 5.5 = 0.36*(18.0) \n" ); document.write( "6.48 = 6.48 \n" ); document.write( "ok \n" ); document.write( " \r\n" ); document.write( "50 22 11 oz of 50% solution\r\n" ); document.write( " 36 18 oz of 36% solution\r\n" ); document.write( "14 14 14/22*11=7 oz of 14% solution\r\n" ); document.write( " 36\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |