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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " \n" ); document.write( " |