document.write( "Question 291713: How many liters each of a 3% chlorine solution and 5% chlorine solution must be mixed toghether to produce 500L of a 4.4% chlorine solution? \n" ); document.write( "

Algebra.Com's Answer #210894 by Fombitz(32388) $\"\"$ $\"About$

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Let T be the number of liters of 3% solution.
\n" ); document.write( "Let F be the number of liters of 5% solution.
\n" ); document.write( "Then,
\n" ); document.write( "Volume equation:
\n" ); document.write( "1. $\"T%2BF=550\"$
\n" ); document.write( "Concentration equation:
\n" ); document.write( " $\"3T%2B5F=4.4%28550%29\"$
\n" ); document.write( "2. $\"3T%2B5F=2420\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"T%2BF=550\"$
\n" ); document.write( " $\"T=550-F\"$
\n" ); document.write( "Substitute into eq. 2 and solve for F.
\n" ); document.write( " $\"3T%2B5F=2420\"$
\n" ); document.write( " $\"3%28550-F%29%2B5F=2420\"$
\n" ); document.write( " $\"1650-3F%2B5F=2420\"$
\n" ); document.write( " $\"2F=770\"$
\n" ); document.write( " $\"F=385\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"T=550-385\"$
\n" ); document.write( " $\"T=165\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "165 liters of 3% solution and 385 liters of 5% solution. \n" ); document.write( "

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