document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=656141>Question 656141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 496. The second number is 8/15 of the first, the first number is less than the third to 2 3/4 times, find each number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409368 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=409368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three numbers: a, b, c<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "The sum of three numbers is 496.<BR>\n" );
document.write( "a + b + c = 496<BR>\n" );
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document.write( "The second number is 8/15 of the first,<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F15 ALIGN=MIDDLE  ALT=\"8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >a<BR>\n" );
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document.write( "the first number is less than the third to 2 3/4 times,<BR>\n" );
document.write( "c = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a<BR>\n" );
document.write( "same as<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F4 ALIGN=MIDDLE  ALT=\"11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a<BR>\n" );
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document.write( "Replace b and c in the 1st equation<BR>\n" );
document.write( "a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F15 ALIGN=MIDDLE  ALT=\"8%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F4 ALIGN=MIDDLE  ALT=\"11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a = 496<BR>\n" );
document.write( "Get rid of those annoying fractions, multiply by 60, results<BR>\n" );
document.write( "60a + 4(8a) + 15(11a) = 60(496)<BR>\n" );
document.write( "60a + 32a + 165a = 29760<BR>\n" );
document.write( "257a = 29760<BR>\n" );
document.write( "a = 29760/257<BR>\n" );
document.write( "a ~ 115.80; I was hoping for an integer here, but we'll just charge ahead<BR>\n" );
document.write( "b = (8/15)*115.8 ~ 61.75<BR>\n" );
document.write( "c = (11/4}}}* 115.8 ~ 318.45<BR>\n" );
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document.write( "See if these devils add up!<BR>\n" );
document.write( "115.8<BR>\n" );
document.write( " 61.75<BR>\n" );
document.write( "318.45<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "496.00!<BR>\n" );
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document.write( "The only thing I can think of is, I misinterpreted:<BR>\n" );
document.write( "\" the first number is less than the third to 2 3/4 times, \"<BR>\n" );
document.write( "Certainly a confusing way to say whatever they were trying to say.<BR>\n" );
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document.write( "Please let me know if you find out about this. Thanks. C\r<BR>\n" );
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document.write( " </SPAN>\n" );
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