document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119770>Question 119770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stan invested $5,000, part at 8% and part at 17%.  If the total interest at the end of the year is $490, how much did he invest at 8%?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87753 by </B><A HREF=/tutors/aboutme.mpl?userid=Caallen2><B>Caallen2(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Caallen2><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=87753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must form your two variables and two equations.\r<BR>\n" );
document.write( "\n" );
document.write( "First we know that the total amount is 5000.\r<BR>\n" );
document.write( "\n" );
document.write( "Let the 8% portion of the money invested = x<BR>\n" );
document.write( "Let the 17% portion of the money invested = y.\r<BR>\n" );
document.write( "\n" );
document.write( "The first equation would be x + y = 5000, because each portion added together will be 5000.\r<BR>\n" );
document.write( "\n" );
document.write( "The second equation is derived by the percentages of each portion that will equal the interest acquired which is 490.  So the second equation would be:\r<BR>\n" );
document.write( "\n" );
document.write( ".08x + .17y = 490\r<BR>\n" );
document.write( "\n" );
document.write( "Now we have two equations:\r<BR>\n" );
document.write( "\n" );
document.write( "x + y = 5000 and .08x + .17y = 490\r<BR>\n" );
document.write( "\n" );
document.write( "Solve by substitution.\r<BR>\n" );
document.write( "\n" );
document.write( "x + y = 5000\r<BR>\n" );
document.write( "\n" );
document.write( "subtract y from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "x = 5000 - y\r<BR>\n" );
document.write( "\n" );
document.write( "Now substitute 5000 - y for x in the second equation\r<BR>\n" );
document.write( "\n" );
document.write( ".08x + .17y = 490\r<BR>\n" );
document.write( "\n" );
document.write( ".08(5000 - y) +.17y = 490\r<BR>\n" );
document.write( "\n" );
document.write( "Use distributive property\r<BR>\n" );
document.write( "\n" );
document.write( "400 - .08y + .17y = 490\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 400 from both sides and simplify\r<BR>\n" );
document.write( "\n" );
document.write( ".09y = 90\r<BR>\n" );
document.write( "\n" );
document.write( "divide both sides by .09\r<BR>\n" );
document.write( "\n" );
document.write( "y = 1000\r<BR>\n" );
document.write( "\n" );
document.write( "now substitute the solution for y into the first equation\r<BR>\n" );
document.write( "\n" );
document.write( "x = 5000 - y\r<BR>\n" );
document.write( "\n" );
document.write( "x = 5000 - 1000\r<BR>\n" );
document.write( "\n" );
document.write( "x = 4000\r<BR>\n" );
document.write( "\n" );
document.write( "so your answer will be $4000 was invested at 8% and $1000 was invested at 17%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );