document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073108>Question 1073108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> explain the total income of x and y is Rs.9000 x spends 60% of his income and y spends 80% of his income.If their savings are equal ,then the income of x is?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687935 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 9000\r<BR>\n" );
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document.write( "x represents the amount of money that person A makes, i.e. his income.<BR>\n" );
document.write( "y represents the amount of money that person B makes, i.e. his income.\r<BR>\n" );
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document.write( "person A spends 60% of his income.<BR>\n" );
document.write( "therefore, what he has left is 40% of his income.<BR>\n" );
document.write( "this represent his savings.<BR>\n" );
document.write( "this can be shown as .4x\r<BR>\n" );
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document.write( "person B spends 80% of his income.<BR>\n" );
document.write( "therefore, what he has left is 20% of his income.<BR>\n" );
document.write( "this represents his savings.<BR>\n" );
document.write( "this can be shown as .2y\r<BR>\n" );
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document.write( "you are given that their savings are equal.\r<BR>\n" );
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document.write( ".4x = .2y\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x + y = 9000<BR>\n" );
document.write( ".4x = .2y\r<BR>\n" );
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document.write( "this can be solved by substitution fairly easily.\r<BR>\n" );
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document.write( "solve for y in the first equation to get:\r<BR>\n" );
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document.write( "y = 9000 - x\r<BR>\n" );
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document.write( "replace y with 9000 - x in the second equation to get:\r<BR>\n" );
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document.write( ".4x = .2 * (9000 - x)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".4x = 1800 - .2x\r<BR>\n" );
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document.write( "add .2x to both sides of this equation to get:\r<BR>\n" );
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document.write( ".6x = 1800\r<BR>\n" );
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document.write( "divide both sides of this equation by .6 to get:\r<BR>\n" );
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document.write( "x = 1800 /.6 = 3000\r<BR>\n" );
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document.write( "since x + y = 9000, then y = 6000\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "income of person A is 3000<BR>\n" );
document.write( "income of person B is 6000\r<BR>\n" );
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document.write( "person A spends 60% of 3000 and is therefore left with 40% of 3000 which is equal to 1200.\r<BR>\n" );
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document.write( "person B spends 80% of 6000 and is therefore left with 20% of 6000 which is equal to 1200.\r<BR>\n" );
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document.write( "their savings are equal.\r<BR>\n" );
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document.write( "you are asked for the income of x.\r<BR>\n" );
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document.write( "x represents the income for person A which is equal to 3000.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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