document.write( "Question 8065: How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32% \n" ); document.write( "
Algebra.Com's Answer #4443 by Earlsdon(6294)\"\" \"About 
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Let x = the required number of milliliters of pure alcohol. \r
\n" ); document.write( "\n" ); document.write( "Then we have:
\n" ); document.write( " 400(15%) + x(100%) = (400+x)(32%) Change the percents to decimals.\r
\n" ); document.write( "\n" ); document.write( "400(0.15) + x(1) = (400+x)(0.32) Simplify and solve for x.\r
\n" ); document.write( "\n" ); document.write( "60 + x = 128 + 0.32x Subtract 0.32x from both sides.
\n" ); document.write( "60 + 0.68x = 128 Subtract 60 from both sides.
\n" ); document.write( "0.68x = 68 Divide both sides by 0.68
\n" ); document.write( "x = 100 ml of pure alcohol is required.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "400(0.15) + 100 = (400+100)(0.32)
\n" ); document.write( "60 + 100 = 500(0.32)
\n" ); document.write( "160 = 160 Check ok.
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