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)\"\" \"About 
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 = \"3%2F.98\"
\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( "
\n" );