document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028655>Question 1028655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A invests 40% of his money and B invests 45% of his money, the total investment will be $215,000. If A invests 45% of his money and B invests 40% of his money then the total investment will be $210,000. How much money do they each have available to invest? </SPAN>\n" );
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document.write( "If A invests 40% of his money and B invests 45% of his money, <BR>\n" );
document.write( "Let A have $x<BR>\n" );
document.write( "and B have $y <BR>\n" );
document.write( "the total investment will be $215,000.<BR>\n" );
document.write( "40%x+45%y=215000<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "40x+45y=21500000....................(1)\r<BR>\n" );
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document.write( " If A invests 45% of his money and B invests 40% of his money then the total investment will be $210,000.\r<BR>\n" );
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document.write( "45%x+40%y =210000<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "45x+40y = 21000000................(2)\r<BR>\n" );
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document.write( "40x+45y=21500000....................(1)<BR>\n" );
document.write( "45x+40y = 21000000................(2)\r<BR>\n" );
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document.write( "add the equations\r<BR>\n" );
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document.write( "85x+85y= 42500000<BR>\n" );
document.write( "/95<BR>\n" );
document.write( "x+y = 500,000................(4)\r<BR>\n" );
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document.write( "40x+45y=21500000....................(1)<BR>\n" );
document.write( "45x+40y = 21000000................(2)<BR>\n" );
document.write( "subtract (2) from (1)\r<BR>\n" );
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document.write( "-5x+5y=-500000\r<BR>\n" );
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document.write( "/-5\r<BR>\n" );
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document.write( "x-y = 100000.................(5)\r<BR>\n" );
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document.write( "add (4) & (5)\r<BR>\n" );
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document.write( "2x= 600000\r<BR>\n" );
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document.write( "x= 300,000<BR>\n" );
document.write( "y=200,000\r<BR>\n" );
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document.write( "These are available for investment\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );