document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153657>Question 1153657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A total of $7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is $470? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775959 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=775959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A quick and easy way to solve this problem and a wide variety of similar \"mixture\" problems....<br><BR>\n" );
document.write( "Consider the actual amount of interest and the amounts of interest if the whole amount were invested at each rate.  $7000 at 6% gives $420 interest; $7000 at 10% gives $700 interest.  Now consider those three amounts of interest on a number line.<br><BR>\n" );
document.write( "$470 is 50/280 = 5/28 of the way from $420 to $700.<BR>\n" );
document.write( "That means 5/28 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "5/28 of $7000 = 5*$250 = $1250.<br><BR>\n" );
document.write( "ANSWER: $1250 at 10%; the other $5750 at 6%.<br><BR>\n" );
document.write( "CHECK: .10(1250)+.06(5750) = 125+345 = 470<br><BR>\n" );
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