document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110724>Question 1110724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Marko invested $300 000 in stocks, bonds and a savings account at the rates shown on the right. (stocks=15%, bonds=10%, savings=4%). He invested 4 times as much in stocks as he invested in the savings account. After one year, he earned $35 600 in interest. How much money did he put into 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 #725760 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Marko invested $300 000 in stocks, bonds and a savings account at the rates shown on the right.<BR>\n" );
document.write( " (stocks=15%, bonds=10%, savings=4%).<BR>\n" );
document.write( " He invested 4 times as much in stocks as he invested in the savings account.   After one year, he earned $35 600 in interest.<BR>\n" );
document.write( " How much money did he put into each type of investment?<BR>\n" );
document.write( "let s = amt invested in stocks<BR>\n" );
document.write( "let b = amt invested in bonds<BR>\n" );
document.write( "let a = amt in savings<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s + b + a = 300000<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".15s + .10b + .04a =35600<BR>\n" );
document.write( "\"He invested 4 times as much in stocks as he invested in the savings\"<BR>\n" );
document.write( "s = 4a<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace s with 4a in both original equation<BR>\n" );
document.write( "4a + b + a = 30000<BR>\n" );
document.write( "5a + b = 300000<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".15(4a) + .10b + .04a = 35600<BR>\n" );
document.write( ".60a + .10b + .04a = 35600 <BR>\n" );
document.write( ".64a + .10b = 35600<BR>\n" );
document.write( "Multiply by 10 and subtract the 1st two unknown equation <BR>\n" );
document.write( "6.4a + b = 356000<BR>\n" );
document.write( "5a + b = 300000<BR>\n" );
document.write( "------------------subtraction eliminates b, find a<BR>\n" );
document.write( "1.4a = 56000<BR>\n" );
document.write( "a = 56000/1.4<BR>\n" );
document.write( "a = $40,000 in savings<BR>\n" );
document.write( "then<BR>\n" );
document.write( "s = 4(40000)<BR>\n" );
document.write( "s = $160,000 in stocks<BR>\n" );
document.write( "then<BR>\n" );
document.write( "300000 - 40000 - 160000 = $100,000 in bonds<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( ".15(160000) + .10(100000) + .04(40000) = 35600<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );