document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171078>Question 1171078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Astro Boy won $22 000 at a weight lifting competition. He decided to invest his money<BR>\n" );
document.write( "in two different accounts. One fund earns 8.5% interest, the other earns 4% interest. If<BR>\n" );
document.write( "Astro Boy earned $1 510 in interest in one year in total, how much was invested in each<BR>\n" );
document.write( "account.<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 #796014 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13208)</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=796014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A setup for a formal algebraic solution....<br><BR>\n" );
document.write( "x = amount invested at 8.5%<BR>\n" );
document.write( "22000-x = amount invested at 4%<br><BR>\n" );
document.write( "The total interest was $1510:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.085%28x%29%2B.04%2822000-x%29+=+1510 ALIGN=MIDDLE  ALT=\".085%28x%29%2B.04%2822000-x%29+=+1510\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra... though the decimals make the calculations a bit unpleasant.<br><BR>\n" );
document.write( "I leave it to you to finish the problem by that path.<br><BR>\n" );
document.write( "Here is a method that gets you to the answer with what I think is far less effort....<br><BR>\n" );
document.write( "(1) $22000 all invested at 8.5% would yield $1870 interest; all at 4% would yield $880 interest.<BR>\n" );
document.write( "(2) Look at the three interest amounts on a number line -- 880, 1510, and 1870 -- and determine with simple calculations that $1510 is 630/990 = 7/11 of the way from $880 to $1870.<BR>\n" );
document.write( "(3) That means 7/11 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 7/11 of $22,000, or $14,000, was invested at 8.5%; the other $8000 at 4%.<br><BR>\n" );
document.write( "CHECK: .085(14000)+.04(8000) = 1190+320 = 1510<br><BR>\n" );
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