document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191856>Question 1191856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> George decided to invest a certain amount of money, some at an<BR>\n" );
document.write( "annual interest rate of 5% and the remainder at an annual interest<BR>\n" );
document.write( "Rate Of 8%. The ratio of the amount of money invested at 5% to the<BR>\n" );
document.write( "amount invested at 8% was 3:5. In one year, he earned $200 more<BR>\n" );
document.write( "From this investment than if he had invested all the money in a fund<BR>\n" );
document.write( "earning 6 1/4% per year. How much would his income from the<BR>\n" );
document.write( "investment have been if he had invested all the money in a fund<BR>\n" );
document.write( "earning 10% per year? Please explain how to do this. </SPAN>\n" );
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document.write( "Given the ratio 3:5 for the amounts invested at 5% and 8%, respectively...<br><BR>\n" );
document.write( "let 3x = amount invested at 5%<BR>\n" );
document.write( "let 5x = amount invested at 8%<br><BR>\n" );
document.write( "The total amount invested was 3x+5x=8x.<br><BR>\n" );
document.write( "The earnings from this investment were 5% of 3x and 8% of 5x.<br><BR>\n" );
document.write( "If he had invested the whole amount at 6.25%, the earnings would have been 6.25% of 8x.<br><BR>\n" );
document.write( "The first investment earned $200 more than the second would have:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%283x%29%2B.08%285x%29+=+.0625%288x%29%2B200 ALIGN=MIDDLE  ALT=\".05%283x%29%2B.08%285x%29+=+.0625%288x%29%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.15x%2B.40x+=+.5x%2B200 ALIGN=MIDDLE  ALT=\".15x%2B.40x+=+.5x%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.55x+=+.5x%2B200 ALIGN=MIDDLE  ALT=\".55x+=+.5x%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05x+=+200 ALIGN=MIDDLE  ALT=\".05x+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+200%2F.05+=+4000 ALIGN=MIDDLE  ALT=\"x+=+200%2F.05+=+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The total invested was 8x = $32000.<br><BR>\n" );
document.write( "His earnings from this investment were<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%2812000%29%2B.08%2820000%29+=+600%2B1600+=+2200 ALIGN=MIDDLE  ALT=\".05%2812000%29%2B.08%2820000%29+=+600%2B1600+=+2200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(note that problem does not ask for that....)<br><BR>\n" );
document.write( "If he had invested the whole $32000 at 10%, his earnings would have been<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10%2832000%29 ALIGN=MIDDLE  ALT=\".10%2832000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $3200.<br><BR>\n" );
document.write( "ANSWER: $3200<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );