document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173936>Question 1173936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem: peter invested P300000.00 with 15% return in an electronic shop and 8% return in real estate. his annual income from his investments is P40000.00. how much did he invest in the electronics shop? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799280 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=799280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> his total investment was 300,000.<BR>\n" );
document.write( "let x = the investment in the electronic shop and y equal the investment in real estate.<BR>\n" );
document.write( "first equation is x + y = 300,000.<BR>\n" );
document.write( "second equation is .15x + .08y = 40,000.<BR>\n" );
document.write( "first equation tells you the amount invested.<BR>\n" );
document.write( "second equation tells you the interest on the investment.\r<BR>\n" );
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document.write( "these two equations need to be solved simultaneously.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "x + y = 300,000<BR>\n" );
document.write( ".15x + .08y = 40,000\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .15 and leave the second equation as is to get:<BR>\n" );
document.write( ".15x + .15y = 45,000<BR>\n" );
document.write( ".15x + .08y = 40,000\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:<BR>\n" );
document.write( ".07y = 5,000<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 5,000 / .07 = 71,428.57143<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 300,000 - 71,428.57143 = 228,571.4286.\r<BR>\n" );
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document.write( "replace the two original equations with these values for x and y to get:<BR>\n" );
document.write( "x + y = 228,571.4286 + 71,428.57143 = 300,000<BR>\n" );
document.write( ".15x + .08y = .15 * 228,571.4286 + .08 * 71,428.57143 = 40,000.<BR>\n" );
document.write( "this confirms the solution is correct.<BR>\n" );
document.write( "the solution is that he invested 228,571.4286 in the electronics shop.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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