document.write( "Question 559912: How much (a) water and (b) 50% soap solution must be added to one liter of a 5% soap solution to create two liters of an 8% soap solution. \r
\n" ); document.write( "\n" ); document.write( "I'm studying for a test tomorrow, so I'm doing all the sample problems in my math book. So, no rush. Any help will be appreciated.
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Algebra.Com's Answer #363566 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of water to be added
\n" ); document.write( "Let \"+b+\" = liters of 50% soap solution to be added
\n" ); document.write( "given:
\n" ); document.write( "\"+.05%2A1+=+.05+\" liters of soap in 5% solution
\n" ); document.write( "\"+.5b+\" =liters of soap in 50% solution
\n" ); document.write( "--------------
\n" ); document.write( "(1) \"+%28+.05+%2B+.5b+%29+%2F+%28+a+%2B+b+%2B+1+%29+=+.08+\"
\n" ); document.write( "(2) \"+a+%2B+b+%2B+1+=+2+\"
\n" ); document.write( "--------------------
\n" ); document.write( "(1) \"+%28+.05+%2B+.5b+%29+%2F+%28+a+%2B+b+%2B+1+%29+=+.08+\"
\n" ); document.write( "(1) \"+.05+%2B+.5b+=+.08%2A%28+a+%2B+b+%2B+1+%29+\"
\n" ); document.write( "(1) \"+.05+%2B+.5b+=+.08a+%2B+.08b+%2B+.08+\"
\n" ); document.write( "(1) \"+.08a+-+.42b+=+-.03+\"
\n" ); document.write( "(1) \"+8a+-+42b+=+-3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+b+=+1+\"
\n" ); document.write( "(2) \"+a+=+1-+b+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+8%2A%28+1+-+b+%29+-+42b+=+-3+\"
\n" ); document.write( "(1) \"+8+-+8b+-+42b+=+-3+\"
\n" ); document.write( "(1) \"+-50b+=+-11+\"
\n" ); document.write( "(1) \"+b+=+.22+\"
\n" ); document.write( "and
\n" ); document.write( "\"+a+=+1+-+.22+\"
\n" ); document.write( "\"+a+=+.78+\"
\n" ); document.write( ".78 liters of water and .22 liters of 50% soap
\n" ); document.write( "solution must be added
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+%28+.05+%2B+.5%2A.22+%29+%2F+%28+.78+%2B+.22+%2B+1+%29+=+.08+\"
\n" ); document.write( "(1) \"+.16++%2F+2+=+.08+\"
\n" ); document.write( "(1) \"+.16+=+.16+\"
\n" ); document.write( "OK\r
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