document.write( "Question 926786: A bottle of juice contains 20% water. how muck water must be added to the bottle to produce 8 L of fruit juice that id 59% water?\r
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Algebra.Com's Answer #562513 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of original solution
\n" ); document.write( "Let \"+b+\" = liters of water to be added
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\n" ); document.write( "\"+.2a+\" = liters of water in original solution
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\n" ); document.write( "\"+8+\" L of 59% water =
\n" ); document.write( "\"+.59%2A8+=+4.72+\" L of water
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\n" ); document.write( "(1) \"+a+%2B+b+=+8+\"
\n" ); document.write( "(2) \"+.2a+%2B+b+=+4.72+\"
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\n" ); document.write( "(2) \"+20a+%2B+100b+=+472+\"
\n" ); document.write( "(2) \"+5a+%2B+25b+=+118+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+5+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+5a+%2B+25b+=+118+\"
\n" ); document.write( "(1) \"+-5a+-+5b+=+-40+\"
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\n" ); document.write( "\"+20b+=+78+\"
\n" ); document.write( "\"+b+=+3.9+\"
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\n" ); document.write( "3.9 L of water should be added
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\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a+%2B+b+=+8+\"
\n" ); document.write( "(1) \"+a+=+8+-+3.9+\"
\n" ); document.write( "(1) \"+a+=+4.1+\"
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\n" ); document.write( "(2) \"+.2a+%2B+b+=+4.72+\"
\n" ); document.write( "(2) \"+.2%2A4.1+%2B+3.9+=+4.72+\"
\n" ); document.write( "(2) \"+.82+%2B+3.9+=+4.72+\"
\n" ); document.write( "(2) \"+4.72+=+4.72+\"
\n" ); document.write( "OK\r
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