document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442883>Question 442883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average weight for a group of 20 women is 130 pounds. If the average weight for 3/4 of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305499 by </B><A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><B>Leaf W.(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><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=Leaf+W.><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the average of a group by adding all the values and dividing by the number of values. Since 3/4 of a group of 20 women is 15, there are fifteen with an average of 140 pounds, and the remaining five would have an average weight of x. Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130+=+%2815%2A140+%2B+5x%29%2F20 ALIGN=MIDDLE  ALT=\"130+=+%2815%2A140+%2B+5x%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve by multiplying by 20 on both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2600+=+15%2A140+%2B+5x ALIGN=MIDDLE  ALT=\"2600+=+15%2A140+%2B+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A140 ALIGN=MIDDLE  ALT=\"15%2A140\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2600+=+2100+%2B+5x ALIGN=MIDDLE  ALT=\"2600+=+2100+%2B+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and subtract 2100 from both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500+=+5x ALIGN=MIDDLE  ALT=\"500+=+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and divide both sides by 5: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+x ALIGN=MIDDLE  ALT=\"100+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore, the average weight for the rest of the women is 100 pounds. </SPAN>\n" );
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