document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=306292>Question 306292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Thank you so much for taking my question. \r<BR>\n" );
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document.write( "If there is a ratio of 5:3 (boys to girls) at the graduation, then 12 more girls arrive, the new ratio changes to 10:9 (boys to girls).   How many students are at the graduation now.\r<BR>\n" );
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document.write( "Thank you again.\r<BR>\n" );
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document.write( "Rose   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219256 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=219256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there is a ratio of 5:3 (boys to girls) at the graduation, then 12 more girls<BR>\n" );
document.write( " arrive, the new ratio changes to 10:9 (boys to girls).<BR>\n" );
document.write( " How many students are at the graduation now. <BR>\n" );
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document.write( "let t = total students at the grad now<BR>\n" );
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document.write( "5:3 means 5/8 are boys, 3/8 are girls<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10:9 means 10/19 are boys, 9/19 are girls<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >*(t - 12) + 12 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F19 ALIGN=MIDDLE  ALT=\"9%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >t<BR>\n" );
document.write( "multiply equation by 152 (8*19), results:<BR>\n" );
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document.write( "19*3(t-12) + 12(152) = 8*9t<BR>\n" );
document.write( "57(t-12) + 1824 = 72t<BR>\n" );
document.write( "57t - 684 + 1824 = 72t<BR>\n" );
document.write( "1140 = 72t - 57t<BR>\n" );
document.write( "1140 = 15t<BR>\n" );
document.write( "t = 1140/15<BR>\n" );
document.write( "t = 76 in the grad class now<BR>\n" );
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document.write( "see if this makes sense<BR>\n" );
document.write( "76-12 = 64 originally in the class<BR>\n" );
document.write( "then; 3/8(64) = 24 girls<BR>\n" );
document.write( "and<BR>\n" );
document.write( "9/19(76) = 36 girls, a difference of 12, confirms our solution<BR>\n" );
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