document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174215>Question 1174215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> dr e man invested $10,000, part at 8 1/2% per annum and the rest at 6 3/4% per annum in one year the amiunt earned at the 8 1/% was $14 more than twice the amount earned at the 6 3/4% how much was invested at each rate and how much interest was earned at each rate?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799613 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Note that the calculations are straightforward (although a bit ugly) once you have set up the problem; by far the most important part of solving the problem is converting the given information into an appropriate equation.<br><BR>\n" );
document.write( "So pay close attention to that part of the solution below.<br><BR>\n" );
document.write( "The total investment is $10,000; let x be the amount invested at 8.5% and ($10,000-x) be the amount invested at 6.75%.  Note that is a typical strategy for starting on a problem where the sum of two numbers is given -- one number is x, and the other is the given sum minus x.<br><BR>\n" );
document.write( "The interest from the first investment is 8.5% of x; the interest from the second is 6.75% of ($10,000-x).<br><BR>\n" );
document.write( "The  interest from the first investment was $14 more than twice the interest from the second:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.085%28x%29+=+2%280.0675%2810000-x%29%29%2B14 ALIGN=MIDDLE  ALT=\"0.085%28x%29+=+2%280.0675%2810000-x%29%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve algebraically; or graph the two expressions on a graphing calculator and see that they intersect at x=6200.<br><BR>\n" );
document.write( "So $6200 was invested at 8.5%, and the other $3800 was invested at 6.75%.<br><BR>\n" );
document.write( "To check that....<br><BR>\n" );
document.write( ".085(6200) = 527<BR>\n" );
document.write( ".0675(3800) = 256.50<BR>\n" );
document.write( "2(256.50)+14 = 513+14 = 527<br><BR>\n" );
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