document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057008>Question 1057008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investment of Php 100 000 earned a net income of Php 3 450 in one year. Part of the investment was in bonds and earned an income at a rate of 8%. The rest of the investment was in stocks and lost money at a rate of 5%. How much was invested in bonds?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672097 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let B represent the amount invested in bonds, and let S represent the amount invested in stocks.\r<BR>\n" );
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document.write( "The sum of the two must equal 100,000, which gives:\r<BR>\n" );
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document.write( "B + S = 100,000\r<BR>\n" );
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document.write( "The amount of income earned is then:\r<BR>\n" );
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document.write( "0.08B - 0.05S = 3450\r<BR>\n" );
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document.write( "Solving the first equation for S gives:\r<BR>\n" );
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document.write( "S = 100,000 - B\r<BR>\n" );
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document.write( "Substituting this into the second equation gives:\r<BR>\n" );
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document.write( "0.08B - 0.05(100,000 - B) = 3450\r<BR>\n" );
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document.write( "0.08B + 0.05B - 5000 = 3450\r<BR>\n" );
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document.write( "0.13B = 3450 + 5000\r<BR>\n" );
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document.write( "0.13B = 8450\r<BR>\n" );
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document.write( "B = 8450 / 0.13\r<BR>\n" );
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document.write( "B = 65,000\r<BR>\n" );
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document.write( "<strong>The amount invested in bonds was Php 65,000.</strong> </SPAN>\n" );
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