document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525559>Question 525559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> total of three numbers is 174. If the ratio between 1st and 3rd number is 1:4. And the ratio between 2nd and 3rd number is 9:16. Then what is the 2nd number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348147 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=348147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement. Simplify each equation as much as you can.<BR>\n" );
document.write( "We want to get a & b in terms of a.<BR>\n" );
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document.write( "total of three numbers is 174.<BR>\n" );
document.write( "a + b + c = 174<BR>\n" );
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document.write( " If the ratio between 1st and 3rd number is 1:4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fc ALIGN=MIDDLE  ALT=\"a%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "c = 4a<BR>\n" );
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document.write( " And the ratio between 2nd and 3rd number is 9:16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fc ALIGN=MIDDLE  ALT=\"b%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F16 ALIGN=MIDDLE  ALT=\"9%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "16b = 9c<BR>\n" );
document.write( "replace c with 4a<BR>\n" );
document.write( "16b = 9(4a)<BR>\n" );
document.write( "16b = 36a<BR>\n" );
document.write( "Divide both sides by 16<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F16 ALIGN=MIDDLE  ALT=\"36%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >a<BR>\n" );
document.write( "Reduce fraction<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a\r<BR>\n" );
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document.write( "Substitute in the 1st equation<BR>\n" );
document.write( "a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >a + 4a = 174<BR>\n" );
document.write( "multiply by 4 to get rid of denominators:<BR>\n" );
document.write( "4a + 9a + 4(4a) = 4(174)<BR>\n" );
document.write( "4a + 9a + 16a = 696<BR>\n" );
document.write( "29a = 696 <BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=696%2F29 ALIGN=MIDDLE  ALT=\"696%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 24 is the 1st number<BR>\n" );
document.write( "Find the 2nd number<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(24)<BR>\n" );
document.write( "b = 9*6<BR>\n" );
document.write( "b = 54 is the 2nd number, which is what they want here<BR>\n" );
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document.write( "Find the 3rd number to check the solutions in the 1st equation<BR>\n" );
document.write( "c =4(24)<BR>\n" );
document.write( "c = 96<BR>\n" );
document.write( "24 + 54 + 96 = 174, confirms our solutions\r<BR>\n" );
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document.write( " </SPAN>\n" );
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