document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000880>Question 1000880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> after 14 boys leave a concert the ratio of boys to girls is 3:10. If there are p girls at the concert, write an algebraic expression for the number of boys at the beginning of the concert in terms of p </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618194 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b = number of boys.<BR>\n" );
document.write( "p = number of girls.\r<BR>\n" );
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document.write( "(b-14)/p = 3/10\r<BR>\n" );
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document.write( "multiply both sides of this equation by p to get:\r<BR>\n" );
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document.write( "b-14 = 3/10 * p\r<BR>\n" );
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document.write( "add 14 to both sides of this equation to get:\r<BR>\n" );
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document.write( "b = 3/10 * p + 14\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "to confirm the solution is correct, pick any value for p and then xolve for b.\r<BR>\n" );
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document.write( "assume p = 10.\r<BR>\n" );
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document.write( "b = 3/10 * p + 14 which becomes:<BR>\n" );
document.write( "b = 3/10 * 10 + 14 which becomes:<BR>\n" );
document.write( "b = 3 + 14 which becomes:<BR>\n" );
document.write( "b = 17.\r<BR>\n" );
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document.write( "the number of boys before 14 left was 17.<BR>\n" );
document.write( "the number of boys after 14 left was 3<BR>\n" );
document.write( "the number of girls is 10.<BR>\n" );
document.write( "the ratio of boys to girls after 14 boys left is 3/10.\r<BR>\n" );
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document.write( "checks out ok.\r<BR>\n" );
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document.write( "the equation is b = 3/10 * p + 14\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "the expression for the number of boys at the beginning of the concert in terms of p is 3/10 * p + 14\r<BR>\n" );
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document.write( "this is a bit of semantics but there is a difference between an equation and an expression.\r<BR>\n" );
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document.write( "an equation indicates equality between expressions.\r<BR>\n" );
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document.write( "an expression is just one side of an equation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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