document.write( "Question 810099: According to new hospital standards a certain disinfectant solution needs to be 20% alcohol instead of 10% alcohol. There is a 40% alcohol disinfectant available to adjust the mixture. Determine the amount of 10% solution and the amount of 40% solution to produce 30L of a 20% solution. \r
\n" ); document.write( "\n" ); document.write( "I am not sure on where to start and my teacher has not gone over any similar problems so I am really stuck. Please help me!?
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Algebra.Com's Answer #487958 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of 10% solution needed
\n" ); document.write( "Let \"+b+\" = liters of 40% solution needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+30+\" liters
\n" ); document.write( "(2) \"+%28+.1a+%2B+.4b+%29+%2F+30+=+.2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+.1a+%2B+.4b+=+6+\"
\n" ); document.write( "(2) \"+a+%2B+4b+=+60+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+a+%2B+4b+=+60+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-30+\"
\n" ); document.write( "\"+3b+=+30+\"
\n" ); document.write( "\"+b+=+10+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+30+\"
\n" ); document.write( "(1) \"+a+=+20+\"
\n" ); document.write( "20 liters of 10% solution is needed
\n" ); document.write( "10 liters of 40% solution is needed
\n" ); document.write( "---------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+.1a+%2B+.4b+%29+%2F+30+=+.2+\"
\n" ); document.write( "(2) \"+%28+.1%2A20+%2B+.4%2A10+%29+%2F+30+=+.2+\"
\n" ); document.write( "(2) \"+%28+2+%2B+4+%29+%2F+30+=+.2+\"
\n" ); document.write( "(2) \"+6%2F30+=+.2+\"
\n" ); document.write( "(2) \"+6+=+.2%2A30+\"
\n" ); document.write( "(2) \"+6+=+6+\"
\n" ); document.write( "OK
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