document.write( "Question 258810: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add? \n" ); document.write( "

Algebra.Com's Answer #190530 by Fombitz(32388) $\"\"$ $\"About$

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F-liters of 5% solution
\n" ); document.write( "T-liters of 10% solution
\n" ); document.write( "1.Volume equation: $\"F%2BT=2\"$
\n" ); document.write( "2.Concentration equation: $\"5F%2B10T=7%28F%2BT%29=7%282%29=14\"$
\n" ); document.write( "Use eq. 1 to solve for F in terms of T and substitute into eq.2,
\n" ); document.write( " $\"F%2BT=2\"$
\n" ); document.write( " $\"F=2-T\"$
\n" ); document.write( "2. $\"5F%2B10T=14\"$
\n" ); document.write( " $\"5%282-T%29%2B10T=14\"$
\n" ); document.write( " $\"10-5T%2B10T=14\"$
\n" ); document.write( " $\"5T=4\"$
\n" ); document.write( " $\"T=4%2F5\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"F=2-T\"$
\n" ); document.write( " $\"F=10%2F5-4%2F5\"$
\n" ); document.write( " $\"F=6%2F5\"$
\n" ); document.write( "Use 4/5 liter of 5% solution and 6/5 liter of 10% solution. \n" ); document.write( "

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