document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176368>Question 1176368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "In January David spent $850 of his income and saved the rest. In February he increased his spending by 20% and his savings decreased by 40%. What was his average savings for the 2 months<BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803082 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=803082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount that he saved.\r<BR>\n" );
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document.write( "in january, he spent 850 and saved x.\r<BR>\n" );
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document.write( "in february, he spent 850 * 1.2 and saved .6 * x\r<BR>\n" );
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document.write( "let y equal his income.\r<BR>\n" );
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document.write( "you get two 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( "y = x + 850<BR>\n" );
document.write( "y = .6x + 850 * 1.2\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "y = x + 850<BR>\n" );
document.write( "y = .6x + 1020\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "0 = .4x - 170\r<BR>\n" );
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document.write( "add 170 to both sides of the equation and switch sides to get:\r<BR>\n" );
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document.write( ".4x = 170\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 170 / .4 = 425\r<BR>\n" );
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document.write( "your original two equations become:\r<BR>\n" );
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document.write( "y = 425 + 850 = 1275<BR>\n" );
document.write( "y = .6 * 425 + 1.2 * 850 = 255 + 1020 = 1275\r<BR>\n" );
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document.write( "he saved 425 in january and .6 * 425 = 255 in february for a total of 680.\r<BR>\n" );
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document.write( "his average savings for each of the two months was 680 / 2 = 340 per month.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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