document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196399>Question 1196399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The annual returns on sid carrington's three investments amounted to $21,600:6% on a savings account,8% on mutual funds and 12% on bonds.The amount of Sid's investment in bonds was twice the amount of his investment in the savings and the interest earned from his investment in bonds was equal to the dividends he recieved from his investment in mutual funds.Find how much money he placed in each type of investment </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829212 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=829212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = amount invested in savings<BR>\n" );
document.write( "b = amount invested in mutual funds<BR>\n" );
document.write( "c = amount invested in bonds<BR>\n" );
document.write( "you get a + b + c = 21600<BR>\n" );
document.write( "the investment in bonds = 2 * the investment in savings.<BR>\n" );
document.write( "this means that c = 2a<BR>\n" );
document.write( "solve for a to get a = 1/2 * c<BR>\n" );
document.write( "the interest earned from bonds = the dividends from mutual funds.<BR>\n" );
document.write( "this means that .12*c = .08*b<BR>\n" );
document.write( "solve for b to get b = .12*c/.08 = 3/2 * c<BR>\n" );
document.write( "replace a and b in the equation of a + b + c = 21600 to get:<BR>\n" );
document.write( "1/2 * c + 3/2 * b + c = 21600<BR>\n" );
document.write( "combine like terms to get 3 * c = 21600<BR>\n" );
document.write( "solve for c to get c = 7200<BR>\n" );
document.write( "since a = 1/2 * c, then a = 3600<BR>\n" );
document.write( "since b = 3/2 * c, then b = 10800<BR>\n" );
document.write( "consequently, a + b + c = 3600 + 10800 + 7200 = 21600.<BR>\n" );
document.write( "this confirms the investment amounts are good.<BR>\n" );
document.write( "also, .12*c = .08*b becomes .12 * 7200 = .08 * 10800 which becomes 864 = 864.<BR>\n" );
document.write( "this confirms the interest on the investments in b and c are also correct.<BR>\n" );
document.write( "your solution is that he placed 3600 in savings and 10800 in mutual funds and 7200 in bonds for a total investment of 21600.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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