document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169392>Question 1169392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kate has a t-shirt business that has earned a total of $15 000 this year. She invests part of the<BR>\n" );
document.write( "money at 4% per year and the rest at 5% per year. After one year she earned $690 in interest.<BR>\n" );
document.write( "How much did she invest 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 #794133 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=794133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A quick and easy non-algebraic method for solving this kind of problem....<br><BR>\n" );
document.write( "(1) All $15,000 invested at 4% would yield $600 interest; all at 5% would yield $750 interest.<BR>\n" );
document.write( "(2) The actual interest, $690, is 90/150 = 3/5 of the way from $600 to $750. (Picture the 3 numbers on a number line if it helps....)<BR>\n" );
document.write( "(3) Therefore, 3/5 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/5 of the $15,000, or $9000, at 5%; the other $6000 at 4%.<br><BR>\n" );
document.write( "CHECK: .05(9000)+.04(6000) = 450+240=690<br><BR>\n" );
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