document.write( "Question 149891: How many liters each of a 2% salt solution and an 10% salt solution must be combined to produce 30 liters of a 4% salt solution? \n" ); document.write( "
Algebra.Com's Answer #110000 by mangopeeler07(462)\"\" \"About 
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y=liters 2%
\n" ); document.write( "x=liters 10%
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\n" ); document.write( "\n" ); document.write( "2y+10x=4(30)
\n" ); document.write( "2y+10x=120\r
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\n" ); document.write( "\n" ); document.write( "y+x=30\r
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\n" ); document.write( "\n" ); document.write( "So you have two equations:
\n" ); document.write( "2y+10x=120
\n" ); document.write( "y+x=30\r
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\n" ); document.write( "\n" ); document.write( "Solve for y in the second equation
\n" ); document.write( "y=30-x\r
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\n" ); document.write( "\n" ); document.write( "Plug that into the first equation
\n" ); document.write( "2(30-x)+10x=120\r
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\n" ); document.write( "\n" ); document.write( "Distribute
\n" ); document.write( "60-2x+10x=120\r
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\n" ); document.write( "\n" ); document.write( "Combine like terms
\n" ); document.write( "60+8x=120\r
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\n" ); document.write( "\n" ); document.write( "Subtract 60 from both sides
\n" ); document.write( "8x=60\r
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\n" ); document.write( "\n" ); document.write( "Divide by 8
\n" ); document.write( "x=60/8 or 15/2\r
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\n" ); document.write( "\n" ); document.write( "y=30-x
\n" ); document.write( "y=30-15/2
\n" ); document.write( "y=60/2-15/2
\n" ); document.write( "y=45/2\r
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\n" ); document.write( "\n" ); document.write( "liters 2%=22.5
\n" ); document.write( "liters 10%=7.5
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