document.write( "Question 635813: 60 ml of solution A is mixed with 120 ml of solution B to produce solution C which contains 8% of pure acid. If 80 ml of solution A is mixed with 40 ml of solution B, a solution D containing 10% of pure acid can be produced. Find the percentage of pure acid in solution A. \n" ); document.write( "
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60 ml of solution A is mixed with 120 ml of solution B to produce solution C which contains 8% of pure acid. If 80 ml of solution A is mixed with 40 ml of solution B, a solution D containing 10% of pure acid can be produced. Find the percentage of pure acid in solution A.
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\n" ); document.write( "let x=% acid in solution A
\n" ); document.write( "let y=% acid in solution B
\n" ); document.write( "2 equations:
\n" ); document.write( "60x+120y=.08(60+120)=.08(180)=14.4
\n" ); document.write( "80x+40y=.10(80+40)=.10(120)=12
\n" ); document.write( "..
\n" ); document.write( "60x+120y=14.4
\n" ); document.write( "80x+40y=12
\n" ); document.write( "..
\n" ); document.write( "60x+120y=14.4
\n" ); document.write( "240x+120y=36
\n" ); document.write( "subtract
\n" ); document.write( "-180x=-21.6
\n" ); document.write( "x=21.6/180=.12
\n" ); document.write( "40y=12-80x=12-.12*80=2.4
\n" ); document.write( "y=2.4/40=.06
\n" ); document.write( "percentage of pure acid in solution A=12%
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