document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209416>Question 1209416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "The workers in a factory are divided equally into 2 groups P and Q. The ratio of women to men in P is 11 to 4.The ratio of women to men in Q is 1 to 1. What is the ratio of women to men in the factory.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848773 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The ratio of women to men in group P is 11:4, so let the numbers of women and men be 11x and 4x.<br><BR>\n" );
document.write( "The ratio of women to men in group Q is 1:1, so let the numbers of women and men be y and y.<br><BR>\n" );
document.write( "The total number of people in group P is 15x; the total number in group Q is 2y.  Those two numbers 15x and 2y must be equal positive integers.  The smallest values of x and y that satisfy that condition are x=2 and y=15.<br><BR>\n" );
document.write( "So in group P there are 11x = 22 women and 4x = 8 men; in group Q there are y = 15 women and y =15 men.  The total number of women is 22+15 = 37; the total number of men is 8+15 = 23.<br><BR>\n" );
document.write( "ANSWER: 37:23<br><BR>\n" );
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