document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164032>Question 164032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand how to set this problem up.Please help.Also, how can I check my answer.Thanks in advance.\r<BR>\n" );
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document.write( "Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%? </SPAN>\n" );
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document.write( "You want to find how much of Walt's $9,000.00 was invested at 8%.<BR>\n" );
document.write( "Call this amount x dollars.<BR>\n" );
document.write( "The interest earned on this amount would then be 8% of x, or 0.08x.<BR>\n" );
document.write( "The remainder of Walt's $9,000.00, that's ($9,000-x) was invested at 9%.<BR>\n" );
document.write( "The interest earned on this amount would be 9% of ($9000.00-x) or 0.09($9000.00-x).<BR>\n" );
document.write( "The sum of these two amounts of interest is $770.00, so we can write the equation to find x.<BR>\n" );
document.write( "0.08x+0.09($9000.00-x) = $770.00 Simplify this and solve for x.<BR>\n" );
document.write( "0.08x+$810.00-0.09x = $770.00 Combine like-terms.<BR>\n" );
document.write( "-0.01x+$810.00 = $770.00 Subtract $810.00 from both sides.<BR>\n" );
document.write( "-0.01x = - $40.00 Divide both sides by 0.01<BR>\n" );
document.write( "x = $4000.00<BR>\n" );
document.write( "Walt invested $4000.00 at 8% interest.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "0.08($4000.00)+0.09($5000.00) = $320.00+$450.00 = $770.00 </SPAN>\n" );
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