document.write( "Question 121715: Please help me solve this word problem: A pharmacist needs to strengthen a 15% alcohol solution so that it contains 32% alcohol. How much pure alcohol should be added to 100ml of the 15% solution?\r
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Algebra.Com's Answer #89351 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A pharmacist needs to strengthen a 15% alcohol solution so that it contains 32% alcohol. How much pure alcohol should be added to 100ml of the 15% solution? \n" ); document.write( "--------------- \n" ); document.write( "15% solution DATA: \n" ); document.write( "Amount = x ml ; Amt of active ingredient = 0.15x ml \n" ); document.write( "------------------------- \n" ); document.write( "Pure alcohol DATA: \n" ); document.write( "Amt = 100-x ml : Amt of active is 100-x ml \n" ); document.write( "-------------------------- \n" ); document.write( "32% solution DATA: \n" ); document.write( "Amt = 100 ml ; Amt of active is 0.32*100 = 32 ml \n" ); document.write( "------------------------ \n" ); document.write( "EQUATION: \n" ); document.write( "active + active = active \n" ); document.write( "0.15x + 100-x = 32 \n" ); document.write( "-0.85x = -68 \n" ); document.write( "x = 80 ml \n" ); document.write( "------------- \n" ); document.write( "Amt of pure alcohol needed for the solution = 100-x = 20 ml \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |