document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905129>Question 905129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bank loaned out $13000, part of it at the rate of 7% per year and the rest at 17% per year. if the interest received in one year totaled $1500, how much was loaned at 7%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549087 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total amount of money invested: $13000<BR>\n" );
document.write( "x+y=13000,<BR>\n" );
document.write( "Total yearly interest for the two accounts is: $1500<BR>\n" );
document.write( "0.07*x+0.17*y=1500<BR>\n" );
document.write( "x=13000-y<BR>\n" );
document.write( "Substitute for x<BR>\n" );
document.write( "0.07*(13000-y)+0.17*y=1500<BR>\n" );
document.write( "Multiply out<BR>\n" );
document.write( "910-0.07y+0.17*y=1500<BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "0.1*y=590<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "y=$ 5900.00 at 17%<BR>\n" );
document.write( "x=13000-y<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=$ 7100.00 at 7%<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "0.07*7100+0.17*5900=1500<BR>\n" );
document.write( "497+1003=1500<BR>\n" );
document.write( "1500=1500<BR>\n" );
document.write( "If this statement is TRUE and neither amount is negative then all is well<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );