document.write( "Question 1129873: Theresa Morgan, a chemist, has a 25% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 465 liters of a hydrochloric acid solution with a 45% acid concentration? \r
\n" ); document.write( "\n" ); document.write( "___ liters of 25% of Hydroloric acid
\n" ); document.write( "___ Liters of 55% of Hydroloric acid
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Algebra.Com's Answer #746508 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = liters of 25% solution needed
\n" ); document.write( "Let \"+b+\" = liters of 55% solution needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+465+\"
\n" ); document.write( "(2) \"+%28+.25a+%2B+.55b+%29+%2F+465++=+.45+\"
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\n" ); document.write( "(2) \"+.25a+%2B+.55b+=+209.25+\"
\n" ); document.write( "(2) \"+25a+%2B+55b+=+20925+\"
\n" ); document.write( "(2) \"+5a+%2B+11b+=+4185+\"
\n" ); document.write( "Multiply both sides of (1) by \"+5+\" and subtract (1) from (2)
\n" ); document.write( "(1) \"+-5a+-+5b+=+-2325+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "\"+6b+=+1860+\"
\n" ); document.write( "\"+b+=+310+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+310+=+465+\"
\n" ); document.write( "(1) \"+a+=+155+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "155 liters of 25% mixture
\n" ); document.write( "310 liters of 55% mixture
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.25a+%2B+.55b+%29+%2F+465++=+.45+\"
\n" ); document.write( "(2) \"+%28+.25%2A155+%2B+.55%2A310+%29+%2F+465++=+.45+\"
\n" ); document.write( "(2) \"+%28+38.75+%2B+170.5+%29%2F465+=+.45+\"
\n" ); document.write( "(2) \"+%28+209.25+%29+%2F+465+=+.45+\"
\n" ); document.write( "(2) \"+209.25+=+.45%2A465+\"
\n" ); document.write( "(2) \"+209.25+=+209.25+\"
\n" ); document.write( "OKJ
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