document.write( "Question 1043926: joan has one solution that is 18% acid and
\n" ); document.write( "second solution that is 43% acid.How many
\n" ); document.write( "liters should she mix together in order to get
\n" ); document.write( "an 80 liters solution that is 26.5% acid
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Algebra.Com's Answer #659136 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of 18% solution needed
\n" ); document.write( "Let \"+b+\" = liters of 43% solution needed
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\n" ); document.write( "\"+.18a+\" = liters of acid in 18% solution
\n" ); document.write( "\"+.43b+\" = liters of acid in 43% solution
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\n" ); document.write( "(1) \"+a+%2B+b+=+80+\"
\n" ); document.write( "(2) \"+%28+.18a+%2B+.43b+%29+%2F+80+=+.265+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) \"+.18a+%2B+.43b+=+.265%2A80+\"
\n" ); document.write( "(2) \"+.18a+%2B+.43b+=+21.2+\"
\n" ); document.write( "(2) \"+18a+%2B+43b+=+2120+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+18+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+18a+%2B+43b+=+2120+\"
\n" ); document.write( "(1) \"+-18a+-+18b+=+-1440+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+25b+=+680+\"
\n" ); document.write( "\"+b+=+27.2+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+27.2+=+80+\"
\n" ); document.write( "(1) \"+a+=+52.8+\"
\n" ); document.write( "----------------------
\n" ); document.write( "52.8 liters of 18% solution are needed
\n" ); document.write( "27.2 liters of 43% solution are needed
\n" ); document.write( "--------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+%28+.18a+%2B+.43b+%29+%2F+80+=+.265+\"
\n" ); document.write( "(2) \"+%28+.18%2A52.8+%2B+.43%2A27.2+%29+%2F+80+=+.265+\"
\n" ); document.write( "(2) \"+%28+9.504+%2B+11.696+%29+%2F+80+=+.265+\"
\n" ); document.write( "(2) \"+21.2%2F80+=+.265+\"
\n" ); document.write( "(2) \"+21.2+=+.265%2A80+\"
\n" ); document.write( "(2) \"+21.2+=+21.2+\"
\n" ); document.write( "OK
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