document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316559>Question 316559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested a total of $5000.00 in 2 different banks.  One bank pays 4% interest, and the other bank pays 6.5% interest.  If you earn a total of $282.50 in interest the first year, how much did you invest in each bank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226475 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amount invested at 4%<BR>\n" );
document.write( "Let y = amount invested at 6.5%\r<BR>\n" );
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document.write( "You have two variables, so you need two equations:\r<BR>\n" );
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document.write( "Equation 1: x+y = 5000   (the sum of money invested was $5000)<BR>\n" );
document.write( "Equation 2: 0.04x + 0.065y = 282.50      (the sum of the interest earned)\r<BR>\n" );
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document.write( "Isolate for one of the variables in Equation 1, then plug it into Equation 2. I will choose to isolate for x:\r<BR>\n" );
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document.write( "x = 5000-y\r<BR>\n" );
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document.write( "0.04(5000-y) + 0.065y =282.50<BR>\n" );
document.write( "200-0.04y +0.065y = 282.50<BR>\n" );
document.write( "0.025y = 82.50<BR>\n" );
document.write( "y=3300\r<BR>\n" );
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document.write( "x =5000-y<BR>\n" );
document.write( "x=1700\r<BR>\n" );
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document.write( "So $1700 was invested at 4% and $3300 was invested at 6.5%. </SPAN>\n" );
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