document.write( "Question 112369: A 35% alcohol solution is to be made by mixing 2 liters of 8% solution with pure alcohol. How much pure alcohol is required? Create a table with headings that include units, show equation, solve and include units in your answer.\r
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document.write( "Please help! \n" );
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Algebra.Com's Answer #81991 by ptaylor(2198) You can put this solution on YOUR website! YOU DO THE TABLE \n" ); document.write( "Let x=amount of pure alcohol needed\r \n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure alcohol needed (x) plus the amount of pure alcohol in the 8% solution (0.08*2) has to equal the amount of pure alcohol in the final solution (0.35(2+x)). So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "x+0.08*2=0.35(2+x) get rid of parens and simplify \n" ); document.write( "x+0.16=0.7+0.35x subtract 0.16 and also 0.35x from both sides\r \n" ); document.write( "\n" ); document.write( "x+0.16-0.16-0.35x=0.7-0.16 collect like terms\r \n" ); document.write( "\n" ); document.write( "0.65x=0.54 divide both sides by 0.65\r \n" ); document.write( "\n" ); document.write( "x=0.83077-- liters----------------------amount of pure alcohol needed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "0.83077+0.16=0.7+0.35*0.83077\r \n" ); document.write( "\n" ); document.write( "0.990769=0.990769\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |