document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6924>Question 6924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/2 kids have left party<BR>\n" );
document.write( "18 kids are standing around<BR>\n" );
document.write( "1/3 are dancing<BR>\n" );
document.write( "how many kids were originally at party </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3793 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the number of kids originally at the party.\r<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( " (1/2)x + 18 + (1/3)x = x  Simplify and solve for x.<BR>\n" );
document.write( "(1/2)x + (1/3)x + 18 = x Add the fractions of x, common denominator is 6.<BR>\n" );
document.write( "(3/6)x + (2/6)x + 18 = x<BR>\n" );
document.write( "(5/6)x + 18 = x  Subtract (5/6)x from both sides.<BR>\n" );
document.write( "18 = x - (5/6)x<BR>\n" );
document.write( "18 = (1/6)x  Multiply both sides by 6.<BR>\n" );
document.write( "x = 108 The number of kids originally at the party.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "(1/2)(108) + 18 + (1/3)(108) = 54 + 18 + 36 = 108<BR>\n" );
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