document.write( "Question 505697: My algebra 2 question on my homework worksheet is this:\r
\n" );
document.write( "\n" );
document.write( "\"A health clinic uses a solution of bleach to sterilize Petri dishes in which cultures are grown. The sterilization tank contains 100 gal of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?\"\r
\n" );
document.write( "\n" );
document.write( "How would you solve that? \n" );
document.write( "
Algebra.Com's Answer #339946 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A health clinic uses a solution of bleach to sterilize Petri dishes in which cultures are grown. \n" ); document.write( " The sterilization tank contains 100 gal of a solution of 2% ordinary household bleach mixed with pure distilled water. \n" ); document.write( " New research indicates that the concentration of bleach should be 5% for complete sterilization. \n" ); document.write( "How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?\" \n" ); document.write( ": \n" ); document.write( "Let x = amt of the 2% solution to be removed, and the amt of bleach to added \n" ); document.write( "(Pure bleach would be 1x) \n" ); document.write( ": \n" ); document.write( ".02(100-x) + 1x = .05(100) \n" ); document.write( "2 - .02x + 1x = 5 \n" ); document.write( "-.02x + 1x = 5 - 2 \n" ); document.write( ".98x = 3 \n" ); document.write( "x = \n" ); document.write( "x ~ 3.06 gal of the 2% solution removed and 3.06 gal of pure bleach to be added \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can prove that \n" ); document.write( ".02(100-3.06) + 3.06 = .05(100) \n" ); document.write( ".02(96.94) + 3.06 = 5 \n" ); document.write( "1.9388 + 3.06 = 4.9988 ~ 5 \n" ); document.write( " \n" ); document.write( " |