document.write( "Question 1066435: Please help with mixture problem. I can't figure out how to get the equation. Thanks! \r
\n" ); document.write( "\n" ); document.write( "A chemist needs 70mL of a 32% solution, but has only 26% and 47% solutions available. Find how many mL of each that should be mixed to get the desired solution. \n" ); document.write( "

Algebra.Com's Answer #681582 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help with mixture problem. I can't figure out how to get the equation. Thanks!
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document.write( "A chemist needs 70mL of a 32% solution, but has only 26% and \r\n" );
document.write( "47% solutions available. Find how many mL of each that should \r\n" );
document.write( "be mixed to get the desired solution. \r\n" );
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document.write( "An N% solution is some liquid which is N% pure stuff and the \r\n" );
document.write( "rest water.  Make this chart:\r\n" );
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document.write( "                  |  mL  |   %   |mL of\r\n" );
document.write( "                  |  of  |  as   |pure\r\n" );
document.write( "                  |liquid|decimal|stuff\r\n" );
document.write( "------------------------------------------- \r\n" );
document.write( "Weaker solution   |   x  | 0.26  |0.26*x\r\n" );
document.write( "Stronger solution |   y  | 0.47  |0.47*y\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "Desired solution  |  70  | 0.32  |0.32*70\r\n" );
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document.write( "The equations come from the two end columns:\r\n" );
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document.write( "The second equation simplifies to\r\n" );
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document.write( "26x + 47y = 2240\r\n" );
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document.write( "solve for x and y.\r\n" );
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document.write( "Edwin

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