document.write( "Question 324803: A chemist has 35% NaCl solution and 50% NaCl solution. How many liters of each should he mix to get 10L of NaCl solution with 40% base concentration? \n" ); document.write( "

Algebra.Com's Answer #232532 by Fombitz(32388) $\"\"$ $\"About$

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Let A be the amount of 35% solution, B the amount of 50% solution.
\n" ); document.write( " $\"A%2BB=10\"$
\n" ); document.write( " $\"35A%2B50B=40%2810%29=400\"$
\n" ); document.write( "Multiply eq. 1 by -50 and add to eq. 2 to eliminate B.
\n" ); document.write( " $\"-50A-50B%2B35A%2B50B=-500%2B400\"$
\n" ); document.write( " $\"-15A=-100\"$
\n" ); document.write( " $\"highlight%28A=20%2F3%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"20%2F3%2BB=30%2F3\"$
\n" ); document.write( " $\"highlight%28B=10%2F3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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