document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134156>Question 134156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I am needing help on this money/percentage problem....I dont know where to start or how to set the equation up...If you could help me find the solution to this problem your help would be greatly appreciated.\r<BR>\n" );
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document.write( "A retired couple earned $656 last year from investments made in tax-free bonds.  They invested some of the money at 8% and the rest at 10%.  The total amount they invested was $7200.  If the couple invested the $7200 for exactly one year, how much did they invest at teach interest rate? I have to identify each amount invested at each rate....\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Mrs. Gibson								<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 #98116 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok Mrs. Gibson,\r<BR>\n" );
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document.write( "First, let $x = the amount invested at 8% and the rest ($7200-$x) invested at 10%<BR>\n" );
document.write( "The amount of interest earned on each of these amounts can be expressed, after changing the percentages to their decimal equivalents, as:<BR>\n" );
document.write( "$x(0.08) and ($7200-$x)(0.1) and, the problem states the the sum of these two amounts of interest is $656.<BR>\n" );
document.write( "So now you have enough to set up an equation in x.<BR>\n" );
document.write( "0.08x + 0.1(7200-x) = 656 Simplify and solve for x.<BR>\n" );
document.write( "0.08x + 720 - 0.1x = 656 Combine like-terms.<BR>\n" );
document.write( "-0.02x + 720 = 656 Subtract 720 from both sides of the equation.<BR>\n" );
document.write( "-0.02x = -64 Divide both sides by -0.02<BR>\n" );
document.write( "x = 3200<BR>\n" );
document.write( "So, $3200 was invested at 8% while $4000 ($7200-$3200) was invested at 10%\r<BR>\n" );
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