document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389440>Question 389440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ms. Brown invested $29,000 in two accounts. One yielding 6% interetst and the other yielding 10%. If she recieved a total of $2,500 in interest at the end of the year, how much did she invest in each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275973 by </B><A HREF=/tutors/aboutme.mpl?userid=gwendolyn><B>gwendolyn(128)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gwendolyn><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=gwendolyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A be the amount invested in the 6% account.<BR>\n" );
document.write( "Let B be the amount invested in the 10% account.<BR>\n" );
document.write( "Mr Brown invested a total of $29,000 so,\r<BR>\n" );
document.write( "\n" );
document.write( "A + B = 29,000<BR>\n" );
document.write( "We subtract B from both sides to solve to A (picked at random):<BR>\n" );
document.write( "A + B - B = 29,000 - B<BR>\n" );
document.write( "A = 29,000 - B\r<BR>\n" );
document.write( "\n" );
document.write( "We also know that the interest totaled $2,500. So, let's form an equation from the interest contributed to that total by each account:<BR>\n" );
document.write( ".06 * A + .10 * B = 2,500<BR>\n" );
document.write( "I like working with whole numbers, so I will multiply this equation by 100:<BR>\n" );
document.write( "100(.06*A + .10*B) = 100(2,500)<BR>\n" );
document.write( "Distribute the 100:<BR>\n" );
document.write( "100*.06*A + 100*.10*B = 100*2,500<BR>\n" );
document.write( "6*A + 10*B = 250,000\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute our value for A from the first equation:\r<BR>\n" );
document.write( "\n" );
document.write( "6*(29,000 - B) + 10*B = 250,000<BR>\n" );
document.write( "Distribute the 6 on the right:<BR>\n" );
document.write( "6*29,000 - 6*B + 10*B = 250,000<BR>\n" );
document.write( "174,000 + 4*B = 250,000<BR>\n" );
document.write( "Subtract 174,000 from both sides to isolate the terms with the variable:<BR>\n" );
document.write( "174,000 + 4*B - 174,000 = 250,000 - 174,000<BR>\n" );
document.write( "4*B = 76,000<BR>\n" );
document.write( "Divide both sides by 4 to solve for B:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2AB%29%2F4+=+%2876000%29%2F4 ALIGN=MIDDLE  ALT=\"%284%2AB%29%2F4+=+%2876000%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 19,000\r<BR>\n" );
document.write( "\n" );
document.write( "Find A by substituting B back into the first equation:<BR>\n" );
document.write( "A = 29,000 - B<BR>\n" );
document.write( "A = 29,000 - 19,000<BR>\n" );
document.write( "A = 10,000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );