document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67574>Question 67574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average weight of a group of children is 100 pounds. Trisha, who weighs 112 pounds, then join the group. This raises the average weight of the group to 102 pounds. How many children were in the original group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48087 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=48087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the average weight of a group of children is 100 pounds. Trisha, who weighs 112 pounds, then join the group. This raises the average weight of the group to 102 pounds. How many children were in the original group?<BR>\n" );
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document.write( "Let x = number of children in the original group<BR>\n" );
document.write( "Let y = the total weight of the original children<BR>\n" );
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document.write( "Before Trisha equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fx+=+100 ALIGN=MIDDLE  ALT=\"y%2Fx+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by x and have:<BR>\n" );
document.write( "y = 100x<BR>\n" );
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document.write( "After Trisha equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2B112%29%29%2F%28%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2B112%29%29%2F%28%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 102<BR>\n" );
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document.write( "Substitute 100x for y and we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28100x%2B112%29%29%2F%28%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28100x%2B112%29%29%2F%28%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 102<BR>\n" );
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document.write( "Multiply equation by (x+1) and have:<BR>\n" );
document.write( "100x + 112 = 102(x+1)<BR>\n" );
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document.write( "100x + 112 = 102x + 102<BR>\n" );
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document.write( "112 - 102 = 102x - 100x<BR>\n" );
document.write( "10 = 2x<BR>\n" );
document.write( "x = 5 kids in the original group:<BR>\n" );
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document.write( "Check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28500+%2B+112%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28%28500+%2B+112%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 102<BR>\n" );
document.write( " </SPAN>\n" );
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