document.write( "Question 1086552: A chemical store room has a 90% acid solution and 40% solution. How many CENTILITERS of the 90% solution should be added to 50 CENTILITERS of the 40% solution to yield up a 50% solution? \r
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document.write( "p.s. i caps the centiliters for clearer comprehension. Thank you sir/maam tutors! :) \n" );
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Algebra.Com's Answer #700779 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = amount of the 90% acid solution (in centiliters)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have 50 centiliters of the 40% solution. \n" ); document.write( "This means we have 0.4*50 = 20 centiliters of pure acid\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We're adding on x more centiliters of the 90% solution. \n" ); document.write( "There are an additional 0.9*x centiliters of pure acid. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In total, we have 0.9*x+20 centiliters of pure acid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is out of x+50 centiliters of solution. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide the expressions 0.9*x + 20 over x+50 to get \n" ); document.write( "This fraction represents the ratio of pure acid to total solution. \n" ); document.write( "We want this ratio to be equal to 50%. \n" ); document.write( "This is because we want the final solution to be 50% acid\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So set \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need 12.5 (12 and a half) centiliters of the 90% solution. \n" ); document.write( " |