document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076283>Question 1076283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jarvis invested some money at 5% interest. Jarvis also invested $152 more than 3 times that amount at 10%. How much is invested at each rate if Jarvis received $1387.90 in interest after one year?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690943 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=690943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total interest is 1387.90.\r<BR>\n" );
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document.write( "x = amount invested at 5%.\r<BR>\n" );
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document.write( "y = amount invested at 10%.\r<BR>\n" );
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document.write( "since the amount he invested at 10% is 152 more than 3 times the amount he invested at 5%, then:\r<BR>\n" );
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document.write( "y = 3 * x + + 152.\r<BR>\n" );
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document.write( "your formula for interest is:\r<BR>\n" );
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document.write( ".05 * x + .10 * y = 1387.90\r<BR>\n" );
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document.write( "since y = 3 * x + 152, replace it in this equation to get:\r<BR>\n" );
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document.write( ".05 * x + .10 * (3 * x + 152) = 1387.90\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".05 * x + .3 * x + 15.2 = 1387.90\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( ".35 * x + 15.2 = 1387.90\r<BR>\n" );
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document.write( "subtract 15.2 from both sides of the equation to get:\r<BR>\n" );
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document.write( ".35 * x = 1372.7\r<BR>\n" );
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document.write( "solve for x to get x = 1372.7 / .35 = 3922\r<BR>\n" );
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document.write( "since y = 3 * x + 152, then:\r<BR>\n" );
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document.write( "y = 11918\r<BR>\n" );
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document.write( ".05 * 3922 + .10 * 11918 = 1387.9\r<BR>\n" );
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document.write( "i believe that satisfies the problem statement.\r<BR>\n" );
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document.write( "your solution is that he invested 3922 at 5% and 11918 at 10%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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